YILMAZ SIMSEK
Professor Dr. of Mathematics

Current Adresses
AKDENIZ UNIVERSITY FACULTY OF SCIENCE DEPARTMENT OF MATHEMATICS 07058 ANTALYA-TURKEY
Phone: +90 242 310 23 43, Mobile Phon: +905365436786
E-mails: ysimsek@akdeniz.edu.tr, ysimsek63@gmail.com,
simsekyil63@yahoo.com

Websites & Social Links
• http://aves.akdeniz.edu.tr/ysimsek/yayinlar
• https://orcid.org/0000-0002-0611-7141
• ResearcherID: C-1654-2016
• https://scholar.google.com.tr/citations?user=mKKkCFUAAAAJ&hl=tr
• https://www.scopus.com/authid/detail.uri?authorId=21733344000,
• https://www.researchgate.net/profile/Yilmaz_Simsek4/research

Personal Information
I am married and have two daughters. 
Education
• PhD. Cukurova University (Adana-Turkey)-1993: (Generalized Dedekind and Hardy sums).
• M.Sc. Cukurova University (Adana-Turkey)-1990: (Hermitian Matrix Inequalities).
• B.Sc. Cukurova University (Adana-Turkey)-1987.
• Certificate/Diploma Teaching involving Courses in university pedagogy January 1988
Work Experience
• Member of the faculty, Department of Mathematics, Faculty of Science, University of Akdeniz since 2005
 Since 2012 Professor
 2007 - 2012 Associate Professor
 2005 - 2007 Assistant Professor
• 1993-2005 Member of the faculty, Department of Mathematics, Faculty of Arts and Sciences, Mersin University
 1993 - 2005 Assistant Professor
• 1988-1993 Member of the faculty, Mersin Vocational High School, Cukurova University
 1988 - 1993 Lecturer
Commissions
• 09-1993 - 07-1994 Mersin University - Head of Mathematics Department
• 09-1993 - 06-1994 Mersin University - Faculty of Art and Science Board Member
• 04-1996 - 09-1998 Mersin University - Deputy Director of the Science Institute
• 11-2018 Akdeniz University Antalya - Faculty of Science Board Member
• Akdeniz University - Head of Science Faculty Research Development Committee Information since 2017
• 09-2018 - 11-2020 Akdeniz University - Strategy Development Board Member
Teaching
I have taught Mathematics at Cukurova University (1988-1993), Mersin University (1993-2005) and Akdeniz University since 2005. My courses include all undergraduate Mathematics courses, Number Theory and their applications, Calculus, Statistics and Probability, Real Analysis, Measure Theory, Complex Analysis, PDE equations, and ODEs equations.
Courses I taught include graduate Mathematics courses (PhD and Master), Special Numbers and polynomials and their applications, Number Theory, Analytic Number Theory, p-adic numbers and their applications, p-adic q-integrals involving special numbers and polynomials, Theory of Elliptic Functions, Theory of Modular Forms, Theory of Modular group, Theory of Theta functions, Complex Analysis, p-adic Analysis, p-adic L-functions, and Probability measure.
National research groups

Prof. Dr. Mustafa Alkan (Algebra and its applications), Prof. Dr. Ahmet Yardimci (Biostatistics and Medical Informatics), Prof. Dr. Melih Eryigit (Computer Engineering), Assoc. Prof. Dr. Fusun Yalcin (probability and statistic and their applications), Dr. Buket Simsek (probability and statistic and their applications), Akdeniz University Antalya Turkey

Prof. Dr. Ismail Naci Cangul and Hacer Ozden (Special Functions, Algebra, Hecke Groups, Modular Groups, Graph Theory), Uludag University Bursa Turkey

Prof. Dr. Mehmet Acikgoz (Special Functions and Approximation theory), Gaziantep University Gaziantep Turkey

Prof. Dr. Cevik (Algebra and Monoid), Uludag Selcuk University Konya Turkey

Assoc. Prof. Dr. Irem Kucukoglu (Computer Languages programs, Generating Functions and Their applications), Alanya Alladin Keykubat University Alanya-Antalya Turkey

Assis. Prof. Dr. Neslihan Kilar (Computer Languages programs, Generating Functions and Their applications) Nigde Omer Halis University Anatalya Turkey

Assis. Prof. Dr. Rifat Battaloglu (Mathematical Models in Chymistry), Nigde Omer Halis University Anatalya Turkey

Dr. Elif Cetin (Modular Forms, Certain Special sums involving Dedekind and Hardy sums), Amasya Celal Bayar University Amasya Turkey
International research groups

Prof. Dr. Abdelmejid Bayad, (Analytic Number Theory, Modular Forms, Certain Special sums involving Dedekind and Hardy sums, Special Zeta-type functions) Laboratoire de Mathématiques et Modélisation d’Évry (LAMME), Université Paris-Saclay, CNRS Evry, France

Professor Gradimir Milovanovic (Trigonometric sums, Dedekind and Hardy sums, Eisenstein series, Gauss-Chebyshev quadrature sums, Degree of exactness), the Serbian Academy of Sciences and Arts, Belgrade, Serbia Faculty of Sciences and Mathematics, University of Niš, Niš, Serbia

Prof. Dr.Sören Kraußhar, (Modular Forms, Generalized Dedekind Sums, Superoscillating functions, generalized superoscillating function and generating functions for superoscillations), University of Erfurt, Germany

Prof. Dr. Irene Maria Sabadini (Superoscillating functions, generalized superoscillating function and generating functions for superoscillations), Politecnico di Milano, Italy

Prof. Dr. Fabrizio Colombo (Superoscillating functions, generalized superoscillating function and generating functions for superoscillations), Politecnico di Milano, Italy

Prof. Dr. Hari M. Srivastava (Special Functions), Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

Prof. Dr. Ron Goldman (Bezier Curves, B-Splines and their applications), Department of Computer Science, Rice University, Houston

Prof. Dr. Plamen Simeonov (Bezier Curves, B-Splines and their applications), Department of Mathematics and Statistics, University of Houston-Downtown, Houston

Prof. Dr. Daeyeoul Kim, (Elliptic Modular Forms, (Generalized) Dedekind Sums, Generating Functions, Theta Functions, and generating functions, Elliptic curves and their applications), Department of Mathematics and Institute of Pure and Applied Mathematics, Jeonbuk National University, Jeonju, Korea

Prof. Dr. Taekyun Kim (p-adic Analysis, Special Functions), Department of Mathematics, Kwangwoon University, Seoul, Korea

Prof. Dr. Lee-Chae Jang (p-adic Analysis, Special Functions), Department of Mathematics and Computer Science, Konkuk University, Chungju 138-701, Korea


Prof. Dr. Chandrashekar Adiga (Graph Theory, Theta functions, Continued Fraction of Ramanujan), aDepartment of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore 570006, Karnataka, India

Prof. Dr. V. Lokesha (Graph Theory, Inequalities, Means), Department of Mathematics, Acharya Institute of Technology, Soldevanahalli, Bangalore-90, India

Current Research Interests

 Complex Analysis, Modular Forms, Elliptic Functions
 Number Theory, p-adic Numbers and their applications
 Real and Complex Analysis
 Special numbers, Special Polynomials, Generating Functions, Special Functions
 Functional Analysis, Integral Equations and Transforms
 q-Series and q-Analysis
 Analytic Number Theory (Modular form and Elliptic functions, Dedekind and Hardy Sums, theta functions), Zeta type functions, Dirichlet series and Lambert-type series
 p-adic analysis and p-adic Distribution
 Umbral Algebra and Umbral Analysis
 Combinatorial Analysis and their applications
 Probability Distribution functions and their Applications
 Computational Science and Engineering, Computational Algorithms
 Algebra of the Lyndon words
 Linear Algebra and their applications
 De Bruijn sequences and application to graph theory

International journal founded:
 Montes Taurus Journal of Pure and Applied Mathematics Montes Taurus Journal of Pure and Applied Mathematics ISSN: 2687-4814, https://mtjpamjournal.com/

International conference founded:
 Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM), https://micopam.com/
 Symposium on Generating Functions of Special Numbers and Polynomials and their Applications (GFSNP2021)

Awards
• Science Award, Akdeniz University Science November 2011 Antalya Turkey
• Jangjeon Mathematical Society award 03 July 2018, Soul-Korea

Ranking of scientists in Turkish Institutions according to their Google Scholar Citations public profiles:
• https://yunus.hacettepe.edu.tr/~Sadi/yayin/Ranking_Web_of_Universities_Turkey_Ocak2016.pdf
• http://proje.akdeniz.edu.tr/yeniweb/jpg/duyuru.pdf
• Ranking of first 6000 academicians along with their major and scientific area of inter-ests in Turkey based on H-index and citations, 2021" "Türkiye'de en çok atıf alan ve H index’i en yüksek 6.000 akademisyen, 2021" February 2021 DOI: 10.13140/RG.2.2.18770.48326/19
• https://www.researchgate.net/publication/349075094_Ranking_of_first_6000_academi-cians_along_with_their_major_and_scientific_area_of_interests_in_Turkey_based_on_H-in-dex_and_citations_2021_Turkiye%27de_en_cok_atif_alan_ve_H_index%27i_en_yuksek_6000_akademi?channel=doi&linkId=606dc500299bf1c911b43a42&showFulltext=true
• https://www.webometrics.info/en/node/194
• http://www.gunhaber.com.tr/haber/Dunyanin-en-etkili-bilim-insanlarindan-4-u-Akdeniz-de-/457536

Master Students

1. Cemal Taskın, Mersin University, 1997, On relations between Weierstrass P-functions, theta functions and Dedekind sums.
2. Yasemin Cetinkaya, Mersin University, 2002, p-adic Hardy sums.
3. Esra Karlık, Mersin University, 2004, Relations between Eisenstein series and Dedekind sums.
4. Nurcan Tepe, Mersin University, 2004, q-Bernoulli Polynomials and numbers.
5. Fulya Akgul, Mersin University, 2005, teaching Series to highschool students.
6. Selin Selen Ozbek, Akdeniz University, 2009, Generating Functions of Bernoulli numbers.
7. Burak Kurt, Akdeniz University, 2009, Hermite Apostol-Bernoulli polynomials.
8. Rahime Dere, Akdeniz University, 2011, generating functions of some special polynomials and their applications on umbral algebra.
9. Ülker Başar, Akdeniz University, 2015, Generating Functions and Applications of Central Factorial Numbers.
10. Hamida Amrani Aziza, Akdeniz University, 2015, Combinatorial sums and their applications in probability and statistics.
11. Neslihan Kılar, Akdeniz University, 2017, Fubini Tipli Sayılar ve Bunların Üreteç Fonksiyonları (Fubini Type Numbers and Their Generating Functions).
12. Zehra Selin Aşkan, Akdeniz University, 2020, Hilbert matrisleri ve Hankel determinantlarinin bazi özel polinom ve sayıları ile ilişkileri (Relationships between Hilbert matrices and Hankel determinants related to some special polynomials and numbers).
13. Damla Gün, Akdeniz University, 2020, B-Spline eğrileri ile Eulerian tipli polinomlar arasin-daki ilişkiler ve bunlarin uygulamaları (Relation between B-Spline splines and Eulerian type polinomilasand their applications).
14. Deniz Kaya, Akdeniz University, 2022, Leibnitz tipli sayılar ile bazı özel toplamlar arasındaki ilişkiler (Relationships between Leibnitz type numbers and some special sums).
15. Yağmur Çetin, Akdeniz University, 2023, Lineer rekürans bağıntıları yardımıyla bazı özel sayıların ve poligonların üreteç fonksiyonlarının tanımlanması ve bunların uygulamaları (To define of generating functions of some special numbers and polynomials with the help of lin-ear recurrence relations and their applications); Thesis continues
16. Ezgi Polat, Master Thesis writing process continues.
17. Elif Bozo, Master Thesis writing process continues.

Ph.D. Students

1. Hacer Özden, Akdeniz University and Uludag University, 2009, On p-adic q-measure and their applications.
2. Aykut Ahmet Aygüneş Akdeniz University, 2012, Hecke type operators and their application.
3. Burak Kurt, Akdeniz University, 2013, On multidimensional Hermite base Appell polynomi-als.
4. Rahime Dere, Akdeniz University, 2016, (q-) Umbral Calculus Sheffer type polynomials and their applications.
5. Elif Çetin, Akdeniz University and Uludag University, 2016, Some Special Finite Sums and their applications.
6. Gülşah Özdemir, Akdeniz University, 2017, Çok Değişkenli Fibonacci Tipli Polinomlar İçin Üreteç Fonksiyonları ve Uygulamaları (Generating Functions and Applications for Multivari-ate Fibonacci Polynomials).
7. İrem Küçükoğlu, Akdeniz University, 2018, Sonlu leksikografikal sıralı alfabe üzerinde tanımlı kelimeler ve De Bruijn tipli dizileri içeren üreteç fonksiyonları ve bunların uygulama-ları (Generating functions containing words defined on a finite lexicographical alphabet and De Bruijn type sequences and their applications).
8. Neslihan Kılar, Akdeniz University, 2021, Hermite tipli Milne-Thomson polinomlarının üreteç fonksiyonları ve bunların hesaplamalı bilimlerdeki uygulamaları (Generating functions of Hermite type Milne-Thomson polynomials and their applications in computational scienc-es).
9. Damla Gün, Akdeniz University, Doctoral dissertation; Thesis name: Generating fontions for Spline type curves with their application involving mathematical models (Spline Tipli Eğrilerin Üreteç Fonksiyonlari Ve Bunlarin Matematiksel Modellerini İçeren Uygulamalar)
10. Elif Şükrüoğlu, Akdeniz University, Doctoral dissertation; Thesis continues

Editors/Editorial Boards in the International Mathematical Journals

1) Founder and Editor-in-Chief of Montes Taurus Journal of Pure and Applied Mathematics (MTJPAM), http://www.mtjpamjournal.com
2) Mathematical Methods in the Applied Sciences, https://onlinelibrary.wiley.com/journal/10991476
3) FILOMAT, http://journal.pmf.ni.ac.rs/filomat/filomat/about/editorialTeam
4) Journal of Applied Mathematics and Informatics The Korean Society for Computational and Applied Mathematics (KSCAM), http://jami.or.kr/
5) Journal of Inequalities and Special Functions, http://91.187.98.171/ilirias/jiasf/index.html
6) Advanced Studies in Contemporary Mathematics, http://jangjeonopen.or.kr/index.php
7) Proceedings of the Jangjeon Mathematical Society, http://jangjeonopen.or.kr/index.php
8) IST Transactions of Applied Mathematics-Modeling and Simulation, http://www.istpress.com/journalInformation/view/AMMS.html
9) IST Transactions of Computer Vision Systems-Theory and Applications, http://www.istpress.com/journalInformation/view/CVSTA.html
10) Research in Applied Mathematics, ISSN: 2357-0482, https://www.agialpress.com/research-applied-mathematics/editorial-board.html

11) Publications de'l Institut Mathematique Mathematical institute SANU; http://publications.mi.sanu.ac.rs/home

Other Reviewer activities

1) Reviewer for The Zentralblatt MATH : http://www.emis.de/ZMATH
2) Reviewer for Mathematical Reviews https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=331420

Organizing of Conferences

1) Mediterranean International Conference of Pure&Applied Mathematics and Related Areas since 2018
2) The International Conference of the Jangjeon Mathematical Society since 2003
3) Symposium on Generating Functions of Special Numbers and Polynomials and their Applications (GFSNP2019) since 2011.

Participated International Programs
Mevlana Programs Seminars
Mevlana Exchange Programme (between Turkey and non-European countries) is a programme that aims the exchange students and academic staff between Turkish higher education institutions and higher education institutions of other countries. I am the Coordinator and responsible of the Mathematics Department of this program.

1) On generating functions of the special numbers and polynomials I; RUSSIA; May 18, 2014; Tomsk State University of Control Systems and Radioelectronic
2) On generating functions of the special numbers and polynomials I; RUSSIA; May 19, 2014; Tomsk State University of Control Systems and Radioelectronic
3) On generating functions of the special numbers and polynomials II; RUSSIA; May 21, 2014; Tomsk State University of Control Systems and Radioelectronic
4) Central Factorial numbers, Stirling Numbers and Array polynomials; RUSSIA; May 22, 2014; Tomsk State University of Control Systems and Radioelectronic
5) On generating function for the Bernstein olynomials and applications; RUSSIA; May 23-25, 2014; Tomsk State University of Control Systems and Radioelectronic
Erasmus Programme Seminars
Erasmus Exchange Programme (between Turkey and European countries) is a programme that aims the exchange students and academic staff between Turkish higher education institutions and higher education institutions of other countries. I am the Coordinator and responsible of the Mathematics Department of this program.

1) Erasmus+ Seminars and Lectures, Paris, FRANCE; September, 2017; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
2) On Generating functions of the Bernstein polynomials; ROMANIA; October 25, 2013; 1 Decembrie 1918 University Of Alba Iulia
3) On interpolation functions of the unification Bernoulli numbers; ROMANIA; October 26, 2013; 1 Decembrie 1918 University Of Alba Iulia
4) Reciprocity Law of Y(h,k) Sums related to Cauchy Residue Theorem; ROMANIA; October 28, 2013; 1 Decembrie 1918 University Of Alba Iulia
5) Recent development on p-adic L-functions; ROMANIA; October 29, 2013; 1 Decembrie 1918 University Of Alba Iulia
6) On p-adic Masure and their applications; ROMANIA; October 30, 2013; 1 Decembrie 1918 University Of Alba Iulia
7) Erasmus Seminars on History of the Generating Functions of Special Numbers; Paris, FRANCE; May 31, 2010; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
8) Erasmus Seminars on Bernoulli numbers and their generating functions; Paris, FRANCE; June 1, 2010; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
9) Erasmus Seminars on Interpolation functions of the Bernoulli numbers; Paris, FRANCE; June 2, 2010; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
10) Erasmus Seminars on Modular forms and applications; Paris, FRANCE; June 3, 2010; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
11) Erasmus Seminars on Hecke operators and Dedekind eta functions and applications; Paris, FRANCE; June 4, 2010; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
12) Generating functions for the special numbers and polynomials and their applications; Debrecen, HUNGARY; June 05-12, 2008; Debrecen University, Hungary
13) Erasmus Seminars on Special Numbers; HUNGARY; May 6-12, 2006; Debrecen University, Hungary

Visiting Professor

1) On Beta polynomials related the Distibution functions; July 19, 2015 ve July 25, 2015; University of Pittsburgh, Pittsburgh, USA
2) Scientific Research on Modular Forms, Hecke Operators, Generating functions and Dedekind sums; Paris, FRANCE; June 18, 2013 ve July 12, 2013; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
3) Seminers on Generating functions for Bernstein Type Polynomials and Their Applications; Pittsburgh, USA; Jan 11, 2013; University of Pittsburgh, Pittsburgh, USA
4) Jacobi Modular forms and Eliptic Dedekind Sums; Paris, France; May 31-July 2, 2010; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
5) Seminers on p-adic q-L-functions and their applications, Modular Forms, Hecke Operators, Generating functions and Dedekind sums; Paris, France; June 01, 2010 ve July 30, 2010; Université d'Évry Val d'Essonne, Département de Mathématiques, Evry Cedex Paris, France
6) Twisted p-adic L-functions; Daejon, S. Korea; July 24-27, 2008; National Institute for Mathematical Sciences Daejon, S.Korea
7) On p-adic two variable L-function; Seoul, S. Korea; August 02-06, 2008; Kwangwoon University Seoul, S.Korea
8) On Fourier series of the Euler function; Seoul, S. Korea; August 02-06, 2008; Kwangwoon University Seoul, S.Korea
9) Bernoulli numbers and polynomials and their applications; February 2, 2007; University of Mysore, India
10) q-Bernoulli numbers and polynomials associated with q-Riemann Zeta functions and q-Dirichlet L-functions; Jeonbuk, S.Korea; July 5, 2006; Woosuk University Jeonbuk, S.Korea
11) p-adic Hardy Sums, p-adic Dedekind sums and related areas; Kongju National University Kongju, S. KOREA; July 14, 2004 ve August 14, 2004; Kongju National University Kongju, S. Korea
12) Historical Dedekind sums and related some properties; Kongju, S. KOREA; 01June-30 August, 2004; Kongju National University Kongju, S.Korea
13) Reciprocity law of Dedekind and Hardy sums; July 22, 2004; KAIST (Korean Advenced Institute of Science and Technology) Daejon, S. Korea
14) Hardy sums; August 12, 2004; Kyungpook National University, S. Korea
Publications
Book Chapters

1) Y. Simsek, Series on Computers and Operations Research Analysis, Geometry, Nonlinear Optimization and Applications, pp. 677-750 (2023), Chapter 26: Some Families of Finite Sums Associated with Interpolation Functions for many Classes of Special Numbers and Polynomials and Hypergeometric Series, https://doi.org/10.1142/9789811261572_0026, World Scientific Publishing Company 2023.
2) Y. Simsek, Applications of Apostol-type numbers and polynomials: Approach to techniques of computation algorithms in approximation and interpolation functions 783-860, Nicholas J. Daras and Themistocles M. Rassias, Editors, Approximation and Computation in Science and Engineering, Springer 2022.
3) Y. Simsek, I. Kucukoglu, (2021) Some Certain Classes of Combinatorial Numbers and Polynomials Attached to Dirichlet Characters: Their Construction by p-Adic Integration and Applications to Probability Distribution Functions. In: Parasidis I.N., Providas E., Rassias T.M. (eds) Mathematical Analysis in Interdisciplinary Research. Springer Optimization and Its Applications, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-030-84721-0_33.
4) Y. Simsek, Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior, Approximation Theory and Analytic Inequalities, Michael Th. (Eds.), Eds., Springer Nature Publishing Group Switzerland, Basel 2021, https://link.springer.com/chapter/10.1007/978-3-030-60622-0_23
5) Y. Simsek, Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas, in: Trigonometric Sums and Their ApplicationsTrigonometric Sums and Their Applications eBook ISBN 978-3-030-37904-9, Raigorodskii, Andrei M., Rassias, Michael Th. (Eds.), Eds.https://doi.org/10.1007/978-3-030-37904-9_10, Springer Nature Publishing Group Switzerland, Basel 2020, with Milovanovic G.
6) Y. Simsek, Analytic Theory, Approximation Theory, and Special Functions/ Families of Twisted Bernoulli Numbers, Twisted Bernoulli Polynomials, and Their Applications; Springer; 2014; Editors: Milovanovic, Gradimir V.; Rassias, Michael Th., http://www.springer.com/mathematics/numbers/book/978-1-4939-0257-6?otherVersion=978-1-4939-0258-3#

Papers in Lecture Notes in Computer Science, Springer

1) Y. Simsek, Deriving Novel Formulas and Identities for the Bernstein Basis Functions and Their Generating Functions, M. Floater et al. (Eds.): MMCS 2012, LNCS 8177, pp. 471–490, 2014. Lecture Notes in Computer Science 8177, Springer, Heidelberg, 2014. http://link.springer.com/search?facet-series="558"&facet-content-type="Book" Editor: Marie-Laurence Mazure, Larry Schumaker, Tom Lyche
2) Interpolation function of generalized q-Bernstein-type basis polynomials and applications. Curves and surfaces, 647–662,Lecture Notes in Computer Science, 6920, Springer, Heidelberg, 2012. http://link.springer.com/chapter/10.1007/978-3-642-27413-8_43. Editor: Marie-Laurence Mazure, Larry Schumaker, Tom Lyche

Publications in WOS (SCI, SCI-E, and E-SCI) Journals

In addition to other articles whose peer-review process continues in the journals, my articles are listed as follows:

SUBMITTED
Book chapter

1. I. Kucukoglu and Y. Simsek, Chapter: Some certain Families of Catalan-type numbers and polynomials: Generating Function Approach, Mathematical Analysis, Differential Equations and Applications, Published by the World Scientific Publishing Company 2022.

2. Y. Simsek and N. Kilar, Chapter: Generating functions for Fubini type numbers and polynomials and their generating functions, Published by the World Scientific Publishing Company 2023.

3. Y. Simsek and F. Yalcin, Chapter: Bernstein polynomials associated with characteristic function,moment generating functions of beta type distribution and their approximation applications, Mathematical Analysis, Differential Equations and Applications, Editor: Rassias, Michael Th., Published by the World Scientific Publishing Company 2023

Submitted Articles


1. I. Kucukoglu and Y. Simsek, Construction of Bernstein-based words and their patterns, https://www.authorea.com/doi/full/10.22541/au.167727740.08236334/v1

2. D. Gun, A. Bayad, and Y. Simsek, Identies comes from certain family of special combinatorial numbers and polynomials.

3. N. Kilar, Abdelmejid Bayad, and Y. Simsek, Formulas comes from Trigonometric Functions and Generating Functions for Families of Special Polynomials

4. Gradimir V. Milovanovic and Yilmaz Simsek, Polynomials and Gaussian Quadratures Related To the Generalized Fermi-Dirac Function

5. Gradimir V. Milovanovic and Yilmaz Simsek, Formulas, Numerical approach, and approximation of the polynomials jd(l)

6. I. Kucukoglu and Y. Simsek, Unified presentations of the generating functions for acomprehensive class of numbers and polynomials, Preprint2023.


Accepted articles

1. Y. Simsek, A Note On Certain Classes of Finite Sums, AIP Conf. Proc. to appear in 2023.

2. Y. Simsek, Notes on Generating Functions of Special Numbers and Polynomials and their Applications, 20th International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2022 Heraklion, Crete, Greece 19-25 September 2022, Galaxy Hotel.

3. D. Gun and Y. Simsek, Commentaries on Relations for Apostol Type and Special Polynomials, AIP Conf. Proc. to appear in 2023.

4. D. Gun and Y. Simsek, Formulas for Calculating Numerical Values of Combinatorial Sums Involving Apostol Bernoulli Numbers and Polynomials, AIP Conf. Proc. to appear in 2023.

5. Y. Leventeli, Y. Simsek, I. Yilmazer, Polynomials Applications to Seismic Waves in Earthquake.

Published in WOS (SCI, SCI-E, ESCI) journal

1) Y. Simsek, On the Generating Functions and Special Functions Associated with Superoscillations, Discrete Applied Mathematics 340 (2023) 215–227, https://doi.org/10.1016/j.dam.2023.07.006 (with F. Colombo, R.S. Krausshar, I. Sabadini )
2) Y. Simsek, Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. (2023) 117:130, https://doi.org/10.1007/s13398-023-01464-0
3) Y. Simsek, Modification Exponential Euler Type Spline Derive From Apostol-Euler Numbers and Polynomials of Complex Order, Appl. Anal. Discrete Math. 17 (2023), 197–215, ( with D. Gun)
4) Y. Simsek, Generating functions for series involving higher powers of inverse binomial coefficients and their applications, Mathematical Methods in the Applied Sciences Math. Meth. Appl. Sci. 2023;1–27, https://doi.org/10.1002/mma.9199
5) Y. Simsek, Generating functions for reciprocal Catalan-type sums: approach to linear differentiation equation and (p-adic) integral equations, Turkish J. Math. 47, (2023), 830-845 with D. Gun
6) Y. Simsek, Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order, Appl. Anal. Discrete Math. 17 (2023), 197–215, with D. Gun
7) Y. Simsek, Formulas and relations for Bernoulli-type numbers and polynomials derive from Bessel function. Commun. Korean Math. Soc. 2023;38:1175-1189. https://doi.org/10.4134/CKMS.c230045 with Ozbek Simsek S
8) Y. Simsek, Formulae bringing to light from certain classes of numbers and polynomials, Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 27 (2023). https://doi.org/10.1007/s13398-022-01370-x (with N. Kilar, D. Kim)
9) Y. Simsek, Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions, The Ramanujan Journal 2022 , DOI:10.1007/s11139-022-00679-w (with N. Kilar and H. M. Srivastava).
10) Y. Simsek, Derivation of computational formulas for certain class of finite sums: Approach to generating functions arising from p-adic integrals and special functions, Math Meth Appl Sci. 45(16) (2022), 9520-9544, DOI: 10.1002/mma.8321.
11) Y. Simsek, Analysis of Generating Functions for Special Words and Numbers and Algorithms for Computation, Mediterr. J. Math. (2022) 19:268, https://doi.org/10.1007/s00009-022-02191-3 (with I. Kucukoglu and G. Milovanovic).
12) Y. Simsek, Formulas and combinatorial identities for Catalan-type numbers and polynomials: Their analysis with computational, Applied and Computational Mathematics An International Journal 21(2) (2022), 158-177 (with I. Kucukoglu)
13) Y Simsek, On generating functions for parametrically generalized polynomials involving combinatorial, Bernoulli and Euler polynomials and numbers, Symmetry 2022, 14(4), 654; https://doi.org/10.3390/sym14040654 (with A Bayad)
14) Y. Simsek, Formulas for characteristic function and moment generating functions of Beta type distribution, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. (2022) 116:86, pp 1-14, https://doi.org/10.1007/s13398-022-01229-1 (with F. Yalcin)
15) Y. Simsek, Applications of constructed new families of generating-type functions interpolating new and known classes of polynomials and numbers, Mathematical Methods in the Applied Sciences 44 (2021),11245–11268, DOI: 10.1002/mma.7485
16) Y. Simsek, New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums, RACSAM 115, 66, 2021, https://doi.org/10.1007/s13398-021-01006-6
17) Y. Simsek, New Families of Special Polynomial Identities Based upon Combinatorial Sums Related to p-Adic Integrals. Symmetry 2021, 13, 1484. https://doi.org/10.3390/sym13081484
18) Y. Simsek, Applications of constructed new families of generating-type functions interpolating new and known classes of polynomials and numbers, Mathematical Methods In The Applied Sciences, 44(14), 2021, 11245-11268, https://doi.org/10.1002/mma.7485
19) Y. Simsek, New classes of recurrence relations involving hyperbolic functions, special numbers and polynomials, Applicable Analysis and Discrete Mathematics (2021); Doi:10.2298/AADM201020015S
20) Y. Simsek, Multiple Dedekind Type Sums and Their Related Zeta Functions. Mathematics 2021, 9, 1744. https://doi.org/10.3390/math9151744, (with Bayad, A)
21) Y. Simsek, Construction and computation of unified Stirling-type numbers emerging from p-adic integrals and symmetric polynomials. RACSAM 115, 167,2021, https://doi.org/10.1007/s13398-021-01107-2 (with I. Kucukoglu)
22) Y. Simsek, New Computational Formulas for Special Numbers and Polynomials Derived from Applying Trigonometric Functions to Generating Functions, Milan J. Math. 89, 217–239 (2021). https://doi.org/10.1007/s00032-021-00333-y, (with N. Kilar)
23) Y. Simsek, Computational formulas and identities for new classes of Hermite‐based Milne–Thomson type polynomials: Analysis of generating functions with Euler's formula, Mathematical Methods in the Applied Sciences 44 (8), 6731-6762, 2021 , (with Kilar)
24) Y. Simsek, Computational identities for extensions of some families of special numbers and polynomials, Turk. J. Math. 45, 2021, 2341-2365 Doi: 10.3906/mat-2101-83 (with I. Kucukoglu)
25) Y. Simsek, Matrix representations for a certain class of combinatorial numbers associated with Bernstein basis functions and cyclic derangements and their probabilistic and asymptotic analyses, Applicable Analysis and Discrete Mathematics 15, 2021, 045–068 (with I. Kucukoglu)
26) Y. Simsek, p-Adic q-Twisted Dedekind-Type Sums. Symmetry 2021, 13, 1756. https://doi.org/10.3390/sym13091756 (with Bayad, A)
27) Y. Simsek, A New Family of Zeta Type Functions Involving the Hurwitz Zeta Function and the Alternating Hurwitz Zeta Function, Mathematics 9(3), 233, 2021 https://doi.org/10.3390/math9030233. (with D. Kim)
28) Y. Simsek, Identities and relations for Hermite-based Milne–Thomson polynomials associated with Fibonacci and Chebyshev polynomials, RACSAM 115, 28 (2021) (with N. Kilar)
29) Y. Simsek, Computational formulas and identities for new classes of Hermite-based Milne-Thomson type polynomials: Analysis of generating functions with Euler's formula, Mathematical Methods in the Applied Sciences 44(8) 2021, 6731-6762; https://doi.org/10.1002/mma.7220. (with Kilar)
30) Y. Simsek, On New Formulas of Fibonacci and Lucas Numbers Involving Golden Ratio Associated with Atomic Structure in Chemistry. Symmetry 2021, 13, 1334. https://doi.org/10.3390/sym13081334, (with Battaloglu, R)
31) Y Simsek, Derivation of Computational Formulas for certain class of finite sums: Approach to Generating functions arising from p-adic integrals and special functions, arXiv preprint arXiv:2108.10756, (2021)
32) Y. Simsek, Generalized Tepper’s Identity and Its Application, Mathematics 2020, 8, 243. https://doi.org/10.3390/math8020243 (with D. Kruchinin, V. Kruchinin)
33) Y. Simsek, Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers, RACSAM 114, 167, 2020, https://doi.org/10.1007/s13398-020-00899-z (with D. Gun)
34) Y. Simsek, Formulas associated with combinatorial polynomials and two parametric Apostol-type polynomials, AIP Conference Proceedings 2293, 180007 (2020) (with D, Gun)
35) Y. Simsek, A New Class of Symmetric Beta Type Distributions Constructed by Means of Symmetric Bernstein Type Basis Functions, Symmetry 2020, 12(5), 779; https://doi.org/10.3390/sym12050779 (with F. Yalcin)
36) Y. Simsek, New classes of Catalan-type numbers and polynomials with their applications related to p-adic integrals and computational algorithms, Turk. J. Math. 44, 2020, 2337- 2355 (with I. Kucukoglu, B. Simsek)
37) Y. Simsek, Identities and Computation Formulas for Combinatorial Numbers Including Negative Order Changhee Polynomials, Symmetry 2020, 12(1), 9; https://doi.org/10.3390/sym12010009 (with D. Kim and S. J. So)
38) Y. Simsek, Formulas involving sums of powers, special numbers and polynomials arising from p-adic integrals, trigonometric and generating functions, Publications de l'Institut Mathematique 108(122) 2020, 103-120 https://doi.org/10.2298/PIM2022103K (with N. Kilar)
39) Y. Simsek, Identities and relations associated with generating function for Apostol-Genocchi type polynomials and trigonometric functions AIP Conference Proceedings 2293, 180006, 2020 (with N. Kilar).
40) Y. Simsek, Identities and Relations for Special Numbers and Polynomials: An Approach to Trigonometric Functions, Filomat 34(2) 2020, 535-542 (with N. Kilar).
41) Y. Simsek, A special approach to derive new formulas for some special numbers and polynomials, Turk. J. Math. 44, 2020, 2217-2240 (with N. Kilar).
42) Y. Simsek, Derivation of computational formulas for Changhee polynomials and their functional and differential equations, Journal of Inequalities and Applications volume 2020, Article number: 149, 2020 (with So, J.S.)
43) Y. Simsek, A new family of combinatorial numbers and polynomials associated with peters numbers and polynomials, Applicable Analysis and Discrete Mathematics 14(3) 2020, 627-640.
44) Y. Simsek, Identities and relations containing finite sums of powers of binomial coefficients, AIP Conference Proceedings 2293, 180002, 2020.
45) Y. Simsek, Some New Families of Special Polynomials and Numbers Associated with Finite Operators, Symmetry 2020, 12(2), 237; https://doi.org/10.3390/sym12020237
46) Y. Simsek, On Boole-Type Combinatorial Numbers and Polynomials, Filomat 34(2) 2020, 559-565.
47) Y. Simsek, Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function, Axioms 2019, 8(4), 112 https://doi.org/10.3390/axioms8040112, (with Kucukoglu and B. Simsek)
48) Y. Simsek, Two Parametric Kinds of Eulerian-Type Polynomials Associated with Euler’s Formula, Symmetry 2019, 11(9), 1097 (with N. Kilar)
49) Y. Simsek, A class of polynomials and connections with Bernoulli’s numbers, The Journal of Analysis 27, 2019, 709-726 (with G.V. Milovanovic, V. S. Stojanovic)
50) Y. Simsek, An approach to negative hypergeometric distribution by generating function for special numbers and polynomials, Turkish Journal of Mathematics 43, 2019, 2337-2353.
51) Y. Simsek, Identities for dirichlet and Lambert-type series arising from the numbers of a certain special word, Applicable Analysis and Discrete Mathematics 13(3) 2019, 787-804 (with I. Kucukoglu)
52) Y. Simsek, Identities and relations on the q-Apostol type Frobenius-Euler numbers and polynomials, J. Korean Math. Soc. 56 (1) 2019, 265–284 (with Irem Kucukoglu)
53) Y. Simsek, On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers, Applicable Analysis and Discrete Mathematics 2019 Volume 13, Issue 2, Pages: 478-494 (with Irem Kucukoglu)
54) Y. Simsek, On interpolation functions for the number of k-ary Lyndon words associated with the Apostol–Euler numbers and their applications, RACSAM 113, 2019, 281–297 (with I. Kucukoglu)
55) Y. Simsek, A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials, Quaestiones Mathematicae 42(4), 2019, 465-478, https://doi.org/10.2989/16073606.2018.1459925 (with I. Kucukoğlu, H.M. Srivastava)
56) Y. Simsek, Identities and relations for Fubini type numbers and polynomials via generating functions and p-adic integral approach, Publications de l'Institut Mathematique, 2019 106(120):113-123 (with N. Kilar)
57) Y. Simsek, Multidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvature, Applied Mathematics and Computation 44–345 (1) 2019, 150-162, https://doi.org/10.1016/j.amc.2018.10.012 (with Kucukoglu I. and Simsek B.)
58) Y. Simsek, Generating functions for finite sums involving higher powers of binomial coefficients: Analysis of hypergeometric functions including new families of polynomials and numbers, Jour-nal of Mathematical Analysis and Applications 477(2) 2019, 1328-1352.
59) Y. Simsek, “Formulas for Poisson–Charlier, Hermite, Milne-Thomson and other type polynomi-als by their generating functions and p-adic integral approach, RACSAM 113(2) 2019, 931–948.
60) Y. Simsek, Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series, J Inequal Appl 2019, 62, 2019, https://doi.org/10.1186/s13660-019-2006-x (with J. S. So)
61) Y. Simsek, On Generating Functions for Boole Type Polynomials and Numbers of Higher Order and Their Applications", Symmetry-Basel, vol.11, 2019 (with J. S. So)
62) Y. Simsek, Identities and Relations On The Q-Apostol Type Frobenius-Euler Numbers And Polynomials, J. Korean Mathematical Society 56, 2019, 265-284(with I. Kucukoglu)
63) Y. Simsek, Y. Simsek, On interpolation functions for the number of k-ary Lyndon words associated with the Apostol–Euler numbers and their applications, RACSAM 113, 2019, 281–297, https://doi.org/10.1007/s13398-017-0471-y (with I. Kucukoglu)
64) Y. Simsek, Recent development on mathematical models including human root dentin and the other applications AIP Conference Proceedings 2116, 100009, 2019 (with K. Er)
65) Y. Simsek, Some relationships between Fubini type polynomials and other special numbers and polynomials AIP Conference Proceedings 2116, 100017, 2019 (with Kilar)
66) Y. Simsek, Identities associated with Milne-Thomson type polynomials and special numbers, Identities associated with Milne–Thomson type polynomials and special numbers. J Inequal Appl 2018, 84, 2018, https://doi.org/10.1186/s13660-018-1679-x (with N. Cakic)
67) Y. Simsek, Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions, J Inequal Appl 2018, 220, 2018, https://doi.org/10.1186/s13660-018-1815-7 (with D. Kim)
68) Y. Simsek, New Families of Special Numbers for Computing Negative Order Euler Numbers and Related Numbers and Polynomials, Applicable Analysis And Discrete Mathematics 12, 2018,1-35.
69) Y. Simsek, "Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals", Turkish Journal of Mathematics 42, 2018, 557-577.
70) Y. Simsek, Numerical Evaluation of Special Power Series Including the Numbers of Lyndon Words: An Approach to Interpolation Functions for Apostol-Type Numbers and Polynomials, Electronic Transactions on Numerical Analysis 50, 2018, 98-108 (with I. Kucukoglu)
71) Y. Simsek, Combinatorial Identities and Sums for Special Numbers and Polynomials, Filomat 32, 2018, 6869-6877.
72) Y. Simsek, Computation of k-ary Lyndon Words Using Generating Functions and Their Differential Equations, Filomat 32, 2018, 3455-3463 (with I. Kucukoglu).
73) Y. Simsek, Combinatorial sums and binomial identities associated with the Beta-type polynomials, Hacettepe Journal of Mathematics and Statistics 47, 2018, 144-1155.
74) Y. Simsek, Construction method for generating functions of special numbers and polynomials arising from analysis of new operators, Mathematical Methods in the Applied Sciences 41, 2018, 6934-6954,
75) Y. Simsek, Generating functions for unification of the multidimensional Bernstein polynomials and their applications, Mathematical Methods in the Applied Sciences 41, 2018, 7170-7181.
76) Y. Simsek, "Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers, Mathematical Methods in the Applied Sciences 40, 2017, 2347-2361.
77) Y. Simsek, k-ary Lyndon Words and Necklaces Arising as Rational Arguments of Hurwitz-Lerch Zeta Function and Apostol-Bernoulli Polynomials, Mediterranean Journal of Mathematics 14(6) Article Number: UNSP 223 Published: DEC 2017 (with Kucukoglu, I.; Bayad, A.)
78) Y. Simsek, "A Continued Fraction of Ramanujan and Some Ramanujan-Weber Class Invariants" FILOMAT 31(13) 2017, 3975-3997 (with Adiga, C.; Bulkhali, N. A. S.; H. M. Srivastava)
79) Y. Simsek, Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials, Journal of Number Theory 181, 2017, 117-146 (with H. M. Srivastava and Irem Kucukoğlu).
80) Y. Simsek, "Identities Related to Special Polynomials and Combinatorial Numbers, Filomat 31(15) 2017, 4833-4844 (With Yuluklu, E., Komatsu, T.)
81) Y. Simsek, A new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomials, J. Korean Math. Soc. 54(5) 2017, 1605-1621 (with Neslihan Kilar)
82) Y. Simsek, Generating Functions for Special Polynomials and Numbers Including Apostol-Type and Humbert-Type Polynomials, Mediterranean Journal of Mathematics 14 (117) 2017, https://doi.org/10.1007/s00009-017-0918-6 (with G. Ozdemir and G. V. Milovanovic).
83) Y. Simsek, Identities for Korobov-type polynomials arising from functional equations and p-adic integrals, Journal of Nonlinear Sciences and Applications10, 2017, 2767-2777 (with A. Yardimci).
84) Y. Simsek, "On Generating Functions for the Special Polynomials Filomat 31, 2017, 9-16.
85) Y. Simsek, New families of special numbers and polynomials arising from applications of p-adic q-integrals, Advances In Difference Equations, Volume 2017, pp.1-11, (2017) (with D. Kim, H. O. Ayna and A. Yardimci).
86) Y. Simsek, On parametrization of the q-bernstein basis functions and their applications, Journal of Inequalities and Special Functions 8(1) 2017, 158-169.
87) Y. Simsek, The Actions on the Generating Functions for the Family of the Generalized Bernoulli Polynomials, Filomat 31, pp.35-44, (2017) (with M. Alkan).
88) Y. Simsek, Combinatorial inequalities and sums involving Bernstein polynomials and basis functions, Journal of Inequalities and Special Functions 8(3) 2017, 15-24.
89) Y. Simsek, Matrix representation for the beta type polynomials, Applied Mathematics & Information Sciences 11(1) 2017,1-5.
90) Y. Simsek, Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals, Turkish Journal of Mathematics 42(2) 2018, 557-577 Doi: 10.3906/mat-1703-114
91) Y. Simsek, Combinatorial sums and binomial identities associated with the Beta-type polynomials, to appear in Hacettepe Journal of Mathematics and Statistics 47(5) 2018, 1144-1155 Doi: 10.15672/HJMS.2017.505
92) Y. Simsek, Identities related to the Stirling numbers and modified Apostol-type numbers on Umbral Calculus, to appear in Miskolc Mathematical Notes 18(2) 2017, 905-916 (with Takao Komatsu).
93) Y. Simsek, Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications, Cogent Mathematics (2016), 3: 1269393, 1-17, https://doi.org/10.1080/23311835.2016.1269393
94) Y. Simsek, A Sequence of Modular Forms Associated with Higher-Order Derivatives of Weierstrass-Type Functions, Filomat 30(12) 2016, 3253-3263 (with A. A. Aygunes, H. M. Srivastava)
95) Y. Simsek, Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and p-adic integrals; Advances in Difference Equations; 2016/308/1-14; (2016) (with A. Yardimci).
96) Y. Simsek, Some Families of the Fibonacci Type Polynomials and Their Generating Functions, Filomat 30 (4) 2016, 969-975 (with G. Ozdemir).
97) Y. Simsek, A note on Generating functions for the unification of the Bernstein type basis functions, Filomat 30 (4) 2016, 985-992 (with I. Kucukoglu).
98) Y. Simsek, The families of L-series associated with decompostion of the generating functions, Filomat 30 (7) 2016, 1789-1799 (with M. Alkan).
99) Y. Simsek, Combinatorial Identities associated with Bernstein type basis functions, Filomat 30 (7) 2016, 1683-1689.
100) Y. Simsek, Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers DOI: 10.1002/mma.3276 Math. Meth. Appl. Sci. 38 2015, 3007-3021.
101) Y. Simsek, A Novel Architecture For Data-Repeaters In The Future Internet, Canadian Journal Of Electrical And Computer Engineering-Revue Canadienne De Genie Electrique Et Informatique 38, (2015), 300-306 (with Günay M., Al-Turjman F., Kucukoglu I.)
102) Y. Simsek and M. Gunay , On Bernstein type polynomials and their Applications, Advances in Difference Equations (2015) 2015:79 DOI 10.1186/s13662-015-0423-9
103) Y. Simsek, Beta-type polynomials and their generating functions, Applied Mathematics and Computation 254(2015), 172–182.
104) Y. Simsek, Hermite Base Bernoulli Type Polynomials on the Umbral Algebra, Russian Journal of Mathematical Physics, 22(1) 2015,1-5.
105) Y. Simsek, Unified presentation of p-adic L-functions associated with unification of the special numbers, Acta Math. Hungar. 144-(2) 2014, 515–529 (with H. Ozden).
106) Y. Simsek, Generating functions for the q-Bernstein bases, SIAM J. Discrete Math. 28(3) (2014), 1009-1025 (with R. Goldman, P. Simeonov).
107) Y. Simsek, Generating functions for the Bernstein type polynomials: A new approach to deriving identities and applications for these polynomials, Hacettepe Journal of Mathematics and Statistics 43(1) 2014, 1-14.
108) Y. Simsek, A new class of polynomials associated with Bernstein and beta polynomials, Mathematical Methods in The Applied Sciences (Math. Meth. Appl. Sci.) 37(5), 676-685, (2014), DOI: 10.1002/mma.2825
109) Y. Simsek, Modification and unification of the Apostol-type numbers and polynomials and their applications, Applied Mathematics and Computation 235 (2014), 338–351, http://dx.doi.org/10.1016/j.amc.2014.03.004 (with H. Ozden)
110) Y. Simsek, q-Beta polynomials and their applications, Appl. Math. Inf. Sci. 7, No. 6, 2539-2547 (2013)
111) Y. Simsek, Values of Twisted Barnes Zeta Functions at Negative Integers, Russian Journal of Mathematical Physics 20:2 (2013) (with A. Bayad).
112) Y. Simsek, Hecke Operators type and generalized Apostol-Bernoulli Polynomials Fixed Point Theory and Applications 2013, 2013:92 (A. A. Aygunes, A. Bayad)
113) Y. Simsek, Analysis approach to finite monoids, Fixed Point Theory and Applications 2013, 2013:15 (A Çevik, I Cangül)
114) Y. Simsek, Partial Hecke type operators and their applications, Boundary Value Problems 2013, 2013:46 doi:10.1186/1687-2770-2013-46 (A.A. Aygunes)
115) Y. Simsek, A new approach to connect Algebra with Analysis: Relationships and Applications between Presentations and Generating Functions, Boundary Value Problems 2013, 2013:51 doi:10.1186/1687-2770-2013-51 (with IN Cangul, AS Cevik)
116) Y. Simsek, Unification of the Bernstein type polynomials and their applications, Boundary Value Problems 2013, 2013:56 doi:10.1186/1687-2770-2013-56
117) Y. Simsek, A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral, Journal of Number Theory Volume 133, Issue 10 (2013), 3245-3263.(R. Dere, Y. Simsek, H. M. Srivsatava))
118) Y. Simsek, Functional equations from generating functions: a novel aproach to deriving identities for the Bernstein basis functions, Fixed Point Theory and Applications 2013, 2013:80.
119) Y. Simsek, Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications, Fixed Point Theory and Applications 2013, 2013:87.
120) Y. Simsek, Generating function for q-Eulerian polynomials and their decomposition and applications Fixed Point Theory and Applications 2013, 2013:72 doi:10.1186/1687-1812-2013-72 (with. M. Alkan)
121) Y. Simsek, Some array polynomials over special monoid presentations, Fixed Point Theory and Applications 2013, 2013:44 (A. S. Cevik, Kinkar Ch. Das, Yilmaz Simsek, I. N. Cangul)
122) Y. Simsek, Normalized polynomials and their multiplication formulas, Advances in Difference Equations 2013, 2013:31 (R. Dere)
123) Y. Simsek, On the generalized Apostol-type Frobenius-Euler polynomials, Advances in Difference Equations 2013, 2013:1 (B. Kurt)
124) Y. Simsek, Unified representation of the family of L-functions, Journal of Inequalities and Applications 2013, 2013:64 (H. Ozden)
125) Y. Simsek, q-Bernstein polynomials related to q-Frobenius-Euler polynomials, l-functions, and q-Stirling numbers, Math. Meth. Appl. Sci. 35, 2012, 877-884 (A. Bayad, V. Lokesha).
126) H.M. Srivastava, H. Ozden, I. N. Cangul, Y. Simsek, A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions, Applied Mathematics and Computation 219, 2012, 3903–3913.
127) Y. Simsek, Dedekind sums involving Jacobi modular forms special values of Barnes zeta functions, Annales de l’institut Fourier 61(5) 2011, 1579-1595. (A. Bayad).
128) Y. Simsek, Some families of Genocchi type polynomials and their interpolation functions, Integral Transforms and Special Functions 23(12) 2012, 919–938, (with H. M. Srivastava and B. Kurt).
129) Y. Simsek, A generalization of the Widder potential transform and applications, Integral Transforms and Special Functions 22(6) (2011), 391-401 (with N. Dernek, V. Kurt, O. Yurekli)
130) Y. Simsek, Construction a new generating function of Bernstein type polynomials Applied Mathematics and Computation, 218, (2011), 1072-1076.
131) Y. Simsek, Notes on generalization of the Bernoulli type polynomials Applied Mathematics and Computation, 218, (2011), 906-911 (with B. Kurt).
132) Y. Simsek, The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications, Applied Mathematics and Computation 218, (2011), 678-682 ( with A.A. Aygunes).
133) Y. Simsek, Genocchi polynomials associated with the Umbral algebra, Applied Mathematics and Computation 218, (2011), 756-761 (with R. Dere).
134) Y. Simsek, A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials, Computers and Mathematics with Applications 60 (2010) 2779-2787 ( H. Ozden and H.M. Srivastava).
135) Y. Simsek, A Family of p-Adic Twisted Interpolation Functions Associated with the Modified Bernoulli Numbers, Applied Mathematics and Computation 216(10) 2010, 2976-2987 (H. M. Srivastava).
136) Y. Simsek, A Study on the p-Adic Integral Representation on Zp Associated with Bernstein and Bernoulli Polynomials, Advances in Difference Equations Volume 2010, Article ID 163217, 6 pages doi:10.1155/2010/163217 (with L.-C. Jang, W.-J. Kim).
137) Y. Simsek, A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function, Abstract and Applied Analysis, vol. 2010, Article ID 769095, 12 pages, 2010. doi:10.1155/2010/769095, (with M. Acikgoz).
138) Y. Simsek, Twisted p-adic (h, q)-L-functions, Computers & Mathematics with Applications, 59 (6), (2010), 2097-2110.
139) Y. Simsek, Complete Sum of Products of (h, q)-Extension of Euler Polynomials and Numbers, Journal of Difference Equations and Applications. 16(11) 2010, 1331-1348, doi: 10.1080/102361909028133967.
140) Y. Simsek, Special functions related to Dedekind-type DC-sums and their applications, Russ. J. Math. Phys. 17 (4) 2010, 495-508.
141) Y. Simsek, On the behavior of two variable twisted p-adic Euler q-l-function, Nonlinear Analysis Theory Method and Applications 71(12) 2009, e942-e951, doi:10.1016/j.na.2008.11.014.24 (with H. Ozden and I. N. Cangul).
142) Y. Simsek, q-Hardy-Berndt type sums associated with q-Genocchi type zeta and q-l-functions, Nonlinear Analysis Theory, Methods & Applications 71(12) 2009, e377-e395. doi:10.1016/j.na.2008.11.014.24.
143) Y. Simsek, A new approach to q-Genocchi numbers and their interpolation functions, Nonlinear Analysis Theory, Methods & Applications 71(12) 2009, e793-e799. doi:10.1016/j.na.2008.11.040 (with I. N. Cangul, H. Ozden).
144) Y. Simsek, On Multiple Interpolation Functions of the Nörlund Type q-Euler Polynomials, Abstract and Applied Analysis, volume 2009, Article ID 382574, 14 pages (with M. Acikgoz).
145) Y. Simsek, On elliptic analogue of the Hardy sums, Bull. Korean Math. Soc. 46(1) (2009), 1-10. (with D. Kim, J. K. Koo).
146) Y. Simsek, On Analytic properties and character analogs of Hardy Sums, Taiwanese J. Math. 13 (1) 2009, 253-268.
147) Y. Simsek, Multiple two variable q-L-functions and its behaviour at s=0, Russ. J. Math. Phys.15(4) 2008, 447-459 (with M. Cenkci, V. Kurt).
148) Y. Simsek, A new extension of q-Euler numbers and polynomials related to their interpolation functions, Appl. Math. Lett. 21(9) 2008, 934-939. (with H. Ozden).
149) Y. Simsek, Interpolation function of the (h,q)-extension of twisted Euler numbers, Comput. Math. Appl. 56(4) 2008, 898-908. (with H. Ozden).
150) Y. Simsek, Generating functions of the (h,q) extension of twisted Euler polynomials and numbers. Acta Math. Hungar.120(3) 2008, 281-299. (with I. N. Cangul, H. Ozden).
151) Y. Simsek, q-Genocchi numbers and polynomials associated with q-Genocchi-type l-functions, Adv. Difference Equ. 2008, Art. ID 815750, 12 pp. (with I. N. Cangul, V. Kurt, D. Kim).
152) Y. Simsek, Multivariate interpolation functions of higher-order q-Euler numbers and their applications. Abstr. Appl. Anal. 2008, Art. ID 390857, 16 pp. (with I. N. Cangul, H. Ozden).
153) Y. Simsek, Remarks on sum of products of (h,q)-twisted Euler polynomials and numbers. J. Inequal. Appl. 2008, Art. ID 816129, 8 pp. (with I. N. Cangul, H. Ozden).
154) Y. Simsek, On (i,q) Bernoulli and Euler numbers, Appl. Math. Lett. 21(7) 2008, 706-711. (with M. Cenkci, V. Kurt and S. H. Rim).
155) Y. Simsek, Analytic continuation of the multiple Daehee q-l-functions associated with Daehee numbers, Russ. J. Math. Phys. 15 (1) 2008, 58-65 (with T. Kim).
156) Y. Simsek, On the analogs of Bernoulli and Euler numbers, related identities and zeta and L-functions, J. Korean Math. Soc. 45(2) 2008, 435-453. (with T. Kim, S. H. Rim, D. Kim).
157) Y. Simsek, An invariant p-adic q-integral associated with q-Euler numbers and polynomials. J. Nonlinear Math. Phys. 14(1) 2007, 8-14. (with I. N. Cangul, V. Kurt,K. Pak, S. H. Rim).
158) Y. Simsek, New approach to the complete sum of products of the twisted (h,q)-Bernoulli numbers and polynomials, J. Nonlinear Math. Phys. 14(1) 2007, 44-56. (with V. Kurt, D. Kim).
159) Y. Simsek, On twisted q-Hurwitz zeta function and q-two-variable L-function, Appl. Math. Comput. 187(1) 2007, 466-473.
160) Y. Simsek, The behavior of the twisted p-adic (h,q)-L-functions at s=0 , J. Korean Math. Soc. 44(4) 2007, 915-929.
161) Y. Simsek, On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers, Russ. J. Math. Phys. 13(3) (2006), 340-348.
162) Y. Simsek, Twisted (h,q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function, J. Math. Anal. Appl. 324(2) 2006, 790-804.
163) Y. Simsek, q-Dedekind type sums related to q-zeta function and basic L-series, J. Math. Anal. Appl. 318(1), 2006, 333-351.
164) Y. Simsek, p-adic q-higher-order Hardy-type sums, J. Korean Math. Soc. 43(1) 2006, 111-131.
165) Y. Simsek, q-Bernoulli numbers and polynomials associated withmultiple q-zeta functions and basic L-series, Russ. J. Math. Phys. 12(2) (2005), 201-228 (with H. Sirivastava, T. Kim).
166) Y. Simsek, q-Analogue of the twisted l-Series and q-Twisted Euler numbers, J. Number Theory 100(2) 2005, 267-278.
167) Y. Simsek, On twisted generalized Euler numbers. Bull. Korean Math. Soc. 41(2) 2004, 299-306.
168) Y. Simsek, On q-analogue of the twisted L-functions and q-twisted Bernoulli numbers, J. Korean Math. Soc. 40(6) 2003, 963-975.
169) Y. Simsek, Relations Between Theta-Functions Hardy Sums Eisenstein and Lambert Series in the transformation formula of logh(z), J. Number Theory 99(2) 2003, 338-360.

Papers in Other International Journals

1) Y. Simsek, Families of unified and modified presentation Fubini numbers and polynomials, Montes Taurus Journal of Pure and Applied Mathematics 5(1) (2023), 1-21, Article ID: MTJPAM-D-22-00025 (with N. Kilar).
2) M. O. Hazar and Y. Simsek, Remarks on conversion of sentences from active voice to passive voice: Algebraic analysis of mathematical model approach, Montes Taurus J. Pure Appl. Math. 5 (3), (2023), 105–110
3) Y Simsek, Some classes of finite sums related to the generalized harmonic functions and special numbers and polynomials, Montes Taurus J. Pure Appl. Math. 4 (3) (2022), 61-79
4) Y. Simsek, Remarks On combinatorial sums associated with special numbers and polynomials with their generating functions, International Journal of Maps in Mathematics 5(1), 2022, 41-60 (with N. Kilar)
5) Y. Simsek, Miscellaneous formulae for the certain class of combinatorial sums and special numbers, Bulletin T. CLIV de l’Académie serbe des sciences et des arts 46, 151-167, 2021.
6) Y. Simsek, Construction of generalized Leibnitz type numbers and their properties, Adv. Stud. Contemp. Math. (Kyungshang) Vol. 31 ( 3), 2021 311-323, DOI: 10.17777/ascm2021.31.3.311
7) Y. Simsek, Interpolation Functions for New Classes Special Numbers and Polynomials via Applications of p-adic Integrals and Derivative Operator, Montes Taurus J. Pure Appl. Math. 3 (1), 2021, 38–61
8) Y. Simsek, Recent Trends on Pure and Applied Mathematics``Dedicated to Professor Hari Mohan Srivastava on the occasion of his 80 th Birthday'', Montes Taurus Journal of Pure and Applied Mathematics 3 (3), i-viii, 2021, (with GV Milovanović, TM Rassias)
9) Y. Simsek, Combinatorial sums involving Fubini type numbers and other special numbers and polynomials: approach trigonometric functions and p-adic integrals. Adv. Stud. Contemp. Math. (Kyungshang) , 31(1) 2021, 75-87 (with N Kilar)
10) Y. Simsek, Formulas and relations of special numbers and polynomials arising from functional equations of generating functions, Montes Taurus J. Pure Appl. Math. 3 (1), 106–123, 2021. (with N Kilar)
11) Y. Simsek, New formulas and numbers arising from analyzing combinatorial numbers and polynomials, Montes Taurus J. Pure Appl. Math. 3 (3), 238-259, 2021.Article ID: MTJPAM-D-20-00038. (with I. Kucukoglu)
12) Y. Simsek, Interpolation functions for new classes special numbers and polynomials via applications of p-adic integrals and derivative operator, Montes Taurus J. Pure Appl. Math. 3 (1), 38-61, 2021
13) Y. Simsek, Formulae to Fubini Type Numbers emerge from Application of 𝒑-adic Integrals, GU J Sci, Part A, 8(4): 402-410, 2021, https://doi.org/10.54287/gujsa.980263 (with N. Kilar)
14) Y. Simsek, Combinatorial sums involving Stirling, Fubini, Bernoulli numbers and approximate values of Catalan numbers, Advanced Studies in Contemporary Mathematics, vol.30, no.4, pp.503-513, 2020 With D. Gun
15) Y. Simsek, A survey on some old and new identities associated with Laplace distribution and Bernoulli numbersAdvanced Studies in Contemporary Mathematics , vol.30, no.4, pp. 455-469, 2020 with Z.S. Askan and I Kucukoglu
16) Y. Simsek, Identities for special numbers and polynomials involving Fibonacci-type polynomials and Chebyshev polynomials, Advanced Studies in Contemporary Mathematics (Kyungshang), Advanced Studies in Contemporary Mathematics 30 (2020), No. 4, pp. 493 – 502 (with N Kilar)
17) Y Simsek, A Note On Hermite-Based Milne Thomson Type Polynomials Involving Chebyshev Polynomials And Other Polynomials, Scientific Journal of Mehmet Akif Ersoy University 3 (1), 8-14 (with N Kilar)
18) Y. Simsek, Relations on Bernoulli and Euler Polynomials Related to Trigonometric Functions, Advanced Studies in Contemporary Mathematics, 29(2), (2019), 191–198 with N. Kilar.
19) Y. Simsek, Relations on Bernoulli and Euler polynomials related to trigonometric functions Adv. Stud. Contemp. Math. (Kyungshang), vol. 29, no.2, pp.191-198, 2019 with Kilar
20) Y. Simsek, Explicit formulas for p-adic integrals: approach to p-adic distribution and some families of special numbers and polynomials, Montes Taurus J. Pure Appl. Math.1 (1), 1-76, 2019.
21) Y. Simsek, "Observations on identities and relations for interpolation functions and special numbers", Adv. Studies Contemp. Math.28 (1), 2018 (January) (with I. Kucukoglu)
22) Y. Simsek, "On k-ary Lyndon Words and their Generating Functions", AIP Conference Proceedings Volume: 1863 Article Number: UNSP 300004-(1-4) Published: 2017 (with Kucukoglu, Irem)
23) Y. Simsek, "Identities and Relations Associated with Lucas and some Special Sequences" AIP Conference Proceedings Volume: 1863 Article Number: UNSP 300003-(1-4) Published: 2017 (withOzdemir, Gulsah)
24) Y. Simsek, "On Combinatorial Type Numbers Related to some Special Numbers", AIP Conference Proceedings Volume: 1863 Article Number: UNSP 300002-(1-4) Published: 2017
25) Y. Simsek, "Identities on the Changhee numbers and Apostol-type Daehee polynomials", Advanced Studies in Contemporary Mathematics (Kyungshang), vol.27, pp.199-212 (2017).
26) Y. Simsek, "Identities and relations related to combinatorial numbers and polynomials", Proceedings of the Jangjeon Mathematical Society, vol.20, pp.127-135 (2017).
27) Y. Simsek, "Remarks and observations on (q-) Bernstein Basis functions", in: Proceedings of the 17th International Conference on Mathematical Methods in Science and Engineering , J. Vigo-Aguiar, Eds., CMMSE2017, Costa Ballena Rota Cadiz , pp.1926-1931 (2017).
28) Y. Simsek, Apostol type Daehee numbers and polynomials, Advanced Studies in Contemporary Mathematics 26, 555-566 (2016).
29) Y. Simsek, Generalization of q-Apostol-type Eulerian numbers and polynomials, and their interpolation functions, Advanced Studies In Contemporary Mathematics (Kyungshang) 25 (2) (2015) 211-220 with A. S. Cevik, I. N. Cangul.
30) Y. Simsek, Special Numbers on Analytic Functions, Applied Mathematics, 5 (2014), 1091-1098.
31) Y. Simsek, Modified Apostol-type polynomials arising from umbral calculus , Advanced Studies in Contemporary Mathematics, 24(2) (2014), 175-182 with T. Mansour, H. Ozden
32) Y. Simsek, Convolution Identities on the Apostol–Hermite Base of Two Variables Polynomials, Differential Equations and Dynamical Systems (Differ. Equ. Dyn. Syst.) 22(3) (2014), 309-318, DOI 10.1007/s12591-013-0181-7 with A. Bayad
33) Y. Simsek, On the Hermite base Gennochi polynomials, Adv. Studies Contemp. Math. 23 (1) (2013), 13-17 (with B. Kurt)
34) Y. Simsek, Interpolation functions of the Eulerian type polynomials and numbers, Adv. Studies Contemp. Math. 23 (2), 2013
35) Y. Simsek, Some identities on the second kind Bernoulli polynomials of order alfa and second kind Euler polynomials of order alfa with the parameters a,b,c , Proc. Jangjeon Math. Soc. 16(2) 2013
36) Y. Simsek, Generalized q-Stirling Numbers and Their Interpolation Functions, Axioms 2013, 2(1), 10-19; doi:10.3390/axioms2010010 (with H. Ozden and I. N. Cangul).
37) Y. SimsekApplications of umbral algebra to some special polynomials, Adv. Studies Contemp. Math. 22 (2012), 433-438 (with R. Dere).
38) Y. Simsek, Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials, Axioms 2012, 1, 395-403; doi:10.3390/axioms1030395
39) Y. Simsek, On q-deformed Stirling numbers, Int. J. Math. Comput. 15 (2012), 70-80.
40) Y. Simsek, Remarks on the Frobenius-Euler polynomials on the umbral algebra, Numerical Analysis and Applied Math. AIP Conf. Proc. 1479 (2012), 348-351 (with R. Dere).
41) Y. Simsek, Relations between Eulerina polynomials and Array Polynomials, Numerical Analysis and Applied Math. AIP Conf. Proc. 1479 (2012), 407-411.
42) Y. Simsek, Unification of multiple Lerch-Zeta type functions, Adv. Studies Contemp. Math. 21 (2011), 367-373. (with A. A. Aygunes).
43) Y. Simsek, Remarks on the Weber Functions and Dedekind Sums, AIP Conf. Proc. 1387 (2011), 304-307. (with A. A. Aygunes).
44) Y Simsek Frobenius-Euler Type Polynomials Related to Hermite-Bernoulli Polynomials, AIP Conf. Proc. 1389 (2011), 385-388 (with B. Kurt).
45) Y. Simsek, Note on the Hurwitz Zeta Function of Higher Order, AIP Conf. Proc. 1389 (2011), 389-391 ( with A. Bayad).
46) Y. Simsek, Generalized Dedekind eta-function. South East Asian J. Math. Math. Sci. 8 (2010), no. 3, 33–41 (with M. Naika and M. C. Maheshkumar).
47) Y. Simsek, Hecke operators and generalized Bernoulli-Euler polynomials, J. Algebra Number Theory, Advences Appl. 3(2) (2010), 111-122 (with A.Bayad, A.A. Aygunes).
48) Y. Simsek, New inequalities on the homogeneous functions, J. Indones. Math. Soc. 15 (2009), no. 1, 49–59 (with Lokesha, V. Nagaraja, K. M.).
49) Y. Simsek, Relation between Greek means and various means, General Math. 17(3), (2009), 3-13 (with V.Lokesha, Padmanabhan.S, K.M.Nagaraja).
50) Y.Simsek On the higher-order w-q-Genocchi numbers. Adv. Stud. Contemp. Math. 19 (2009), no. 1, 39-57. (with I. N. Cangul, V. Kurt, Veli and H. Ozden)
51) Y. Simsek, Twisted Dedekind type sums associated with Barnes' type multiple Frobenius-Euler l-Functions, Advanc. stud. Contemp. Math. 18(2) (2009), 135-160, arXiv:0711.0579v1 (with M. Can, M. Cenkci, V. Kurt).
52) Y. Simsek, Remarks on q-Bernoulli numbers associated with Daehee numbers. Adv. Stud. Contemp. Math. 18 (2009), no. 1, 41-48. (with Ozden, H and Cangul, I.N).
53) Y. Simsek, Hurwitz Type Multiple Genocchi Zeta Function , Numerical Analysis and Applied Math. AIP Conf. Proc. 1148 781 (2009) (with H. Ozden and I. N. Cangul).
54) Y. Simsek, Remarks on Interpolation Function of Higher Order (h,q)-Bernoulli Numbers , Numerical Analysis and Applied Math. AIP Conf. Proc. 1168 61 (2009) (with A. Bayad).
55) Y. Simsek, Applications of Hecke Operator to Generalized Dedekind Eta Functions, AIP Conf. Proc. 1168 568 (2009) (with M. Acikgoz, I. N. Cangul and D. Kim).
56) Y. Simsek, A p-adic Look at the Diophantine Equation x2+112k = yn , AIP Conf. Proc. 1168 275 (2009) (with I. N. Cangul and G. Soydan).
57) Y. Simsek, p-adic Dedekind and Hardy-Berndt sums related to Volkenborn integral on Zp, Proceedings the 16th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Dongguk University, Gyeongju, S. Korea, July 28-August 1, (2008), 222-23.
58) Y. Simsek, Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions. Adv. Stud. Contemp. Math. 16 (2008), no. 2, 251-278.
59) Y. Simsek, q-analogue of the p-adic twisted l-function. J. Concr. Appl. Math. 6 (2008), no. 2, 169-176. (with Jang, L.-C.; Kurt, V.; Rim, S. H).
60) Y. Simsek, Multiple Interpolation Functions of Higher Order (h,q)-Bernoulli Numbers, Numerical Analysis and Applied Math., AIP (1048486-489 2008), 1048, (2008) 486-489.
61) Y. Simsek, Elliptic analogue of the Hardy sums related to elliptic Bernoulli functions. Gen. Math. 15 (2007), no. 3, 3-23.
62) Y. Simsek, Euler polynomials associated with p-adic q-Euler measure. Gen. Math. 15 (2007), no. 2, 24-37. (with Ozden H.; Cangul I. N.).
63) Y. Simsek, On interpolation functions of the twisted generalized Frobenius-Euler numbers. Adv. Stud. Contemp. Math. 15 (2007), no. 2, 187-194. (with Yurekli O., Kurt V.).
64) Y. Simsek, Further remarks on multiple p-adic q-L-function of two variables. Adv. Stud. Contemp. Math. 14 (2007), no. 1, 49-68. (with Cenkci M., Kurt V.).
65) Y. Simsek, Arithmetic of infinite products and Rogers-Ramanujan continued fractions. Commun. Korean Math. Soc. 22 (2007), no. 3, 331-351. (with Kim D., Koo J. K.).
66) Y. Simsek, A note on p-adic q-Euler measure. Adv. Stud. Contemp. Math. 14 (2007), no. 2, 233-239. (with Ozden H.; Rim S.-H., Cangul I. N.).
67) Y. Simsek, A note on the sums of powers of consecutive q-integers. J. Appl. Funct. Differ. Equ. JAFDE 1 (2006), no. 1, 81-88. (with Kim, D., Kim, T., Rim S.-H.).
68) Y. Simsek, A note on the alternating sums of powers of consecutive q-integers. Adv. Stud. Contemp. Math. 13 (2006), no. 2, 159-164. (with Kim T.; Rim S.-H.).
69) Y. Simsek, Hardy's summation, Bose-Einstein integral and q-version of Bose-Einstein type kernel. Proc. Jangjeon Math. Soc. 9 (2006), no. 1, 9-18. (with Yang, .; Kurt, V.; Kim, D.).
70) Y. Simsek, Hardy character sums related to Eisenstein series and theta functions. Adv. Stud. Contemp. Math. 12 (2006), no. 1, 39-53.
71) Y. Simsek, Remarks on reciprocity laws of the Dedekind and Hardy sums. Adv. Stud. Contemp. Math. 12 (2006), no. 2, 237-246.
72) Y. Simsek, A note on q-Daehee sums. Proceedings of the 16th International Conference of the Jangjeon Mathematical Society, 159-166, Jangjeon Math. Soc., Hapcheon, 2005. (with Rim, S.-H.; Jang, L.-C.; Kang, D.-J.; Seo, J.-J.).
73) Y. Simsek, Remarks on reciprocity laws of the Dedekind and Hardy sums. Proceedings of the 16th International Conference of the Jangjeon Mathematical Society, 148-158, Jangjeon Math. Soc., Hapcheon, 2005.
74) Y. Simsek, A set of cube numbers in p with prime p equiv 1 pmod 3. Far East J. Math. Sci. (FJMS) 16 (2005), no. 2, 207-216. (with Kim, D.; Jeon, H.; Jeong, S.).
75) Y. Simsek, Theorems on twisted L-function and twisted Bernoulli numbers. Adv. Stud. Contemp. Math. 11 (2005), no. 2, 205-218.
76) Y. Simsek, Yilmaz On normalized Eisenstein series and new theta functions. Proc. Jangjeon Math. Soc. 8 (2005), no. 1, 25-34.
77) Y. Simsek, On the two-variable Dirichlet q-L-series. Adv. Stud. Contemp. Math. 10 (2005), no. 2, 131-142. (with Kim, D.; Rim, S.-H.).
78) Y. Simsek, Barnes' type multiple Changhee q-zeta functions. Adv. Stud. Contemp. Math. 10 (2005), no. 2, 121-129. (with Kim T; Pyung, I.-S.).
79) Y. Simsek, Remarks on Dedekind eta function, theta functions and Eisenstein series under the Hecke operators. Adv. Stud. Contemp. Math. 10 (2005), no. 1, 15-24. (with Acikgoz, M.).
80) Y. Simsek, On generalized Hardy's sums S 5(h,k). Ukraïn. Mat. Zh. 56 (2004), no. 10, 1434-1440; translation in Ukrainian Math. J. 56 (2004), no. 10, 1712-1719.
81) Y. Simsek, An explicit formula for the multiple Frobenius-Euler numbers and polynomials. JP J. Algebra Number Theory Appl. 4 (2004), no. 3, 519-529. (with Kim T.; Park D. W.; Ro Y. S.; Jang L. C.; Rim S. H.).
82) Y. Simsek, On Weierstrass p(z) function Hardy sums and Eisenstein series. Proc. Jangjeon Math. Soc. 7 (2004), no. 2, 99-108.
83) Y. Simsek, On generalized q-Hardy character sums. Proceedings of the 15th International Conference of the Jangjeon Mathematical Society, 7-23, Jangjeon Math. Soc., Hapcheon, 2004.
84) Y. Simsek, Transformation of four Titchmarsh-type infinite integrals and generalized Dedekind sums associated with Lambert series. Adv. Stud. Contemp. Math. 9 (2004), no. 2, 195-202. (with Yang S.).
85) Y. Simsek, Generalized Dedekind sums associated with the Abel sum and the Eisenstein and Lambert series. Adv. Stud. Contemp. Math. 9 (2004), no. 2, 125-137.
86) Y. Simsek, Theorems on three-term relations for Hardy sums. Turkish J. Math. 22 (1998), no. 2, 153-162.
87) Y. Simsek, A note on Dedekind sums. Bull. Calcutta Math. Soc. 85 (1993), no. 6, 567-572.
88) Y. Simsek, On the Hermitian matrix inequalities, Pure Appl. Math. Sci. 36 (1992), no. 1-2, 29-32 (with V. Kurt).
Participated lnternational Conferences

1) Y. Simsek, Observations certain class of finite sums with their generating functions, The International Conference on Mathematical Applications in Engineering, Management and Health Sciences (ICMAEMH-2023), January 22-23, 2023, Adichunchanagiri University, BG Nagara, INDIA
2) Y. Simsek, Remarks on generating functions for finite sums involving higher powers of binomial coefficients, and hypergeometric series, International Conference on Number Theory and Graph Theory(ICNG-2023), In association with Jangjeon Mathematical Society, South Korea, 18-20 January 2023, Department of Mathematics, Manipal Institute of Technology Manipal 576 104, INDIA
3) Y. Simsek, Formulas derived from certain family operator and p-adic bosonic integral
M. O. Hazar and Y. Simsek, A note on mathematical model for conversion of sentences from active voice to passive voice
D. Gun and Y. Simsek, Some special series involving two variable Fibonacci type polynomials and combinatorial numbers
E. Sukruoglu and Y. Simsek, Remarks on generalization Sz^asz-Mirakjan-Baskakov operator and their applications
The 5th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2022) ISBN 978-625-00-0917-8 Web Site: http://micopam.com Conference Venue: Sherwood Exclusive Lara Hotel, Antalya, TURKEY Antalya, October 27-30, 2022
4) Y. Simsek, Notes on Generating Functions of Special Numbers and Polynomials and their Applications,
Y. Simsek, A Note on Certain Classes of Finite Sums-II
D. Gun and Y. Simsek, Commentaries on Relations for Apostol Type and Special Polynomials-II
D. Gun and Y. Simsek, Formulas for Calculating Numerical Values of Combinatorial Sums Involving Apostol Bernoulli Numbers and Polynomials -I
D. Kim and Y. Simsek, Notes on Formulas for Apostol Type Numbers and Polynomials Derived from Partial Multiple Euler Type Zeta Function-II
20th International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2022 Heraklion, Crete-GREECE 19-25 September 2022, Galaxy Hotel
5) Y. Simsek, Generating functions for certain finite sums and their applications, ICSFA-2021, International Conference on Special Functions & Applications XXth Annual Meeting of the Society for Special Functions & their Applications 22- 24 December, 2021 Department of Mathematics, University of Kerala, Thiruvananthapuram (Kerala), INDIA ssfaindia.org/icsfa2021
6) Y. Simsek, Relations between a certain combinatorial numbers and Fibonacci numbers, the 3nd and 4th Mediterranean International Conference of Pure&Applied Mathematics and Related Areas (MICOPAM2021), Akdeniz University Antalya TURKEY, November 11-12, 2021.
7) Y. Simsek, 19th International Conference Of Numerical Analysis And Applied Mathematics Rhodes-GREECE, September 20-25, 2021: On combinatorial numbers and polynomials and their applications,
New Formulas for Bernoulli, Euler and Genocchi polynomials II (with Y. Cetin)
Inequalities and formulas associated with Bernoulli numbers of higher order and special numbers II (with D. Gun)
Some series representations for special numbers involving Fibonacci polynomials and combinatorial numbers II (with D. Gun)
8) Y. Simsek, Combinatorial Numbers Arising from Two Parametric Apostol-Type Polynomials, the 2nd Mediterranean International Conference of Pure&Applied Mathematics and Related Areas(MICOPAM2019), Université d’Evry Val d’Essonne, Département de Mathématiques, Boulevard F. Mitterrand F-91025 Evry Cedex F-91025 Paris FRANCE, August 28, 2019 -August 31, 2019
9) Y. Simsek, Mirimanoff Polynomial: Approach to Hypergeometric and Generating Functions, The 32th Conference of the Jangjeon Mathematical Society at Far Eastren Federal University Vladivostok RUSSIAN 20-24 July 2019
10) Mediterranean International Conference of Pure&Applied Mathematics and Related Areas (MICOPAM 2018), Antalya-TURKEY, 26-29 October 2018
Y. Simsek, “Applications And Observations For Bezier Curves Involving Bernstein Polynomials” and
“Some Formulas Related to Generating Functions Including Trigonometric Functions” with N. Kilar, International Symposium on Advanced Engineering Technologies 2-04 May 2019 Kahraman Maras Turkey
11) Y. Simsek, "Integral representations of generating functions for combinatorial numbers and polynomials"
and
”Special numbers arised from trigonometric and hyperbolic functions", with N. Kilar
Mediterranean International Conference of Pure&Applied Mathematics and Related Areas (MICOPAM 2018), Antalya-TURKEY, 26-29 October 2018
12) Y. Simsek, “Remarks And Some Formulas Associated With Combinatorial Numbers”
and
"Some relationships between Fubini type polynomials and other special numbers and polynomials" with N. Kilar
and
"Recent development on mathematical models including human root dentin and the other applications" with K. Er
16th International Conference Of Numerical Analysis And Applied Mathematics (ICNAAM2018 2018 Rhodes-GREECE),
13) Y. Simsek, “Remarks on families of combinatorial numbers including generating functions and their applications” “49th Southeastern International Conference on Combinatorics, Graph Theory & Computing” Student Union at Florida Atlantic University in Boca Raton, FL. USA March 5–9, 2018.
14) Y. Simsek, “Applications Of Bernstein Polynomials Including Bezier Curvs And Structual Geology”
and
“Combinatorial Approach To Engineering Including Geology Problems” With I. Kucukoglu, 9th International Symposum on Eastrn Mediterranean Geology Antalya-TURKEY 07-11 May 2018
15) Y. Simsek, “Some special polynomials derive from Peters polynomials and their applications”
and
"Lambert and Dirichlet Series approach to deriving identities related to the numbers of special words" with I. Kucukoglu
The 31st International Conference of The Jangjeon Mathematical Society (ICJMS2018), Kwangwoon University, Seoul, SOUTH KOREA, 2018, July 2-6.
16) Y. Simsek, "Relations between unification of the multidimensional Bernstein polynomials and p-adic integrals" International Congress of Mathematicians (ICM) Rio de Janeiro, BRAZIL on August 1st to 9th, 2018.
17) Y. Simsek, “Special finite sums including Dedekind sums, Hardy sums, the sum Y(h,k): Approach to Eisenstein series and cotangent sums”, International conference on Hypercomple Analysis amd Applications, 24-26 September 2018 Erfurt-GERMANY.
18) Y. Simsek, "Generating function for some special olynomials including Poisson-Charlier Hermite type Milne-Thomson type and the other polynomials
and
"Numerical evaluations on power series including the numbers of Lyndon words and interpolation functions for the Apostol-type polynomials", Apprximation and Computation Theory and Applications (ACTA2017), Belgrade, SIRBISTAN, 30 Kasım - 2 Aralık 2017, vol.1, no.1, pp.31-32 (with I. Kucukoglu)
19) Y. Simsek, "On a family of special numbers and special polynomials associated with Apostol type numbers and polynomials and other combinatorial sums", Théorie des Nombres et Applications, Valenciennes, FRANCE, 2-3 Kasım 2017, vol.1, no.1, pp.21-21
20) Y. Simsek, "Interpolation functions for the Apostol-type numbers and polynomials", 15th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM2017), Thessalinoki, GREECE, 25-30 September 2017.
21) Y. Simsek, "Relations arising from combinatorial numbers and Bersntein-type basis functions", 15th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM2017), Thessalinoki, GREECE, 25-30 September 2017 (with I. Kucukoglu).
22) Y. Simsek, "A new family of numbers and polynomials related to characters of finite abelian group", Caucasian Mathematics Conference II (CMC - II), VAN, TURKEY, 22-24 August 2017, pp.124-124.
23) Y. Simsek, "Combinatorial aspect for the special words", Caucasian Mathematics Conference II (CMC - II), VAN, TURKEY, 22-24 August 2017, pp.96-96 (with I. Kucukoglu).
24) Y. Simsek, "Combinatorial Applications of the Generating functions to the Lyndon words", The 30th International Conference of The Jangjeon Mathematical Society" (ICJMS2017), Algiers, ALGERIA, 12-15 July 2017, pp.94-96 (with I. Kucukoglu).
25) Y. Simsek, "p-adic q-Integrals approach to uniformly differentiable functions and their applications including special numbers and polynomial", The 30th International Conference of The Jangjeon Mathematical Society" (ICJMS2017)ISBN:978-9931-9222-1-6, Algiers, ALGERIA, 12-15 July 2017, pp.14-16
26) Y. Simsek, "Remarks and observations on (q-) Bernstein Basis functions", The 17th International Conference on Mathematical Methods in Science and Engineering - CMMSE 2017, Rota-Cadiz, SPAIN, 4-8 July 2017, vol.1-6, no.CMMSE2017, pp.1926-1931.
27) Y. Simsek, "Generating functions for the Bernstein basis functions and their application to probability distributions and fractals", 2017, 6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals, Ithaca, USA, 13-17 June 2017, pp.17-18.
28) Y. Simsek, "On Parametrization Of The Q-Bernstein Basis Functions", International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2017 ), AYDIN, TURKEY, 11-15 May 2017, pp.189-189.
29) Y. Simsek, "A Note on the Numbers Yn(λ) and the Polynomials Yn(x; λ) and Their Generating Functions ", International Conference On Recent Advances In Pure And Applied Mathematics, Aydin, TURKEY, 11-15 May 2017, pp.129-129 (with I. Kucukoglu).
30) Y. Simsek, "Remarks and Observations on Some Special Arithmetical Sums", International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2017 ), AYDIN, TURKEY, 11-15 May 2017, pp.70-70 (with E. Cetin).
31) Y. Simsek, "Interpolation functions of the k-ary Lyndon words including Lerch-zeta type functions", International Conference on Mathematics and Engineering 2017, İstanbul, TURKEY, 10-12 May 2017, pp.156-156 (with I. Kucukoglu).
32) Y. Simsek, "Generating functions for special polynomials: analysis of the p-adic Volkenborn integral", International Conference On Mathematics And Engineering 2017, İstanbul, TURKEY, 10-12 May 2017, pp.140-140
33) Y. Simsek, "A note on array-type polynomials related to some special numbers and polynomials", International Conference on Mathematics and Engineering 2017, İstanbul, Turkey, 10-12 May 2017, pp.57-57 (with A. Bayad).
34) Y. Simsek, "Identities and Relations Associated with Lucas and Some Special Sequences", 14th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM2016), Rhodes, GREECE, 12-18 September 2016, pp.1-4 (with Ozdemir G.)
35) Y. Simsek, "On k-ary Lyndon Words and their Generating Functions", 14th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM2016) , Rhodes, GREECE, 19-25 September 2016, pp.1-4 (with Kucukoglu I.)
36) Y. Simsek, "On combinatorial type numbers related to some special numbers", 14th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM2016) , Rhodes, GREECE, 19-25 September 2016, pp.1-4.
37) Y. Simsek, Q-Bernstein Bases and Their Applications; and; Remarks and Observations on Bezier Type Curves and Their Some Applications (I. Kucukoglu), the 29th International Conference of “The Jangjeon Mathematical Society on Number Theory and Special Functions and its Applications” 08-10 August 2016, Pondicherry University, Pondicherry, INDIA.
38) Y. Simsek, "A Note On The Values Of The Twisted Barnes Zeta Functions And Their Applications", International Conference on Analysis and Its Applications
and
"Some Identities of The Humbert And Generalized Chebyshev Polynomials", International Conference on Analysis and Its Applications (with Ozdemir G.)
and
"Some Special Numbers and Polynomials Related To K-Ary Lyndon Words"(with Kucukoglu I.)
International Conference on Analysis and Its Applications (ICAA-2016) , Kirşehir, TURKEY, 12-15 Temmuz 2016, pp.351-351
Y. Simsek, "Central Factorial Type Numbers Associated With Averaging Operator", International Conference on Analysis and Its Applications (ICAA-2016) , KIRŞEHİR, TURKEY, 12-15 Temmuz 2016, pp.311-311
39) Y. Simsek, "Combinatorial applications of the special numbers and polynomials", The 14th International Conference on Permutation Patterns (PP 2016, Washington DC, USA, 27 Haziran - 1 Temmuz 2016, pp.116-120.
40) Y. Simsek, "Remarks On Combinatorial Numbers ", CIMPA Research School on "Number Theory and Applications, Tipaza, ALGERIA, 29 Mayıs - 2 Haziran 2016, pp.1-1
41) Y. Simsek, "A Note On Combinatorial Sums", International Conference on Diophantine Analysis and Related Topics, Wuhan, CHINA, 10-13 Mart 2016, pp.1-1
42) Y. Simsek, On Generating Functions for the Special Polynomials, The 23rd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, 24-28 August 2015 Kyushu Sangyo University, Fukuoka, JAPAN.
43) Y. Simsek, On generating functions for special numbers and polynomials and their applications, The 12th International Conference on Finite Fields and Their Applications 13-17 July 2015 Skidmore College Saratoga Springs NY USA.
44) Y. Simsek, Anote on Stirling type numbers and Array type polynomials 29th Journées Arithmétiques 06-10 July 2015 Debrecren-HUNGARY.
45) Y. Simsek, Bernstein basis functions related to combinatorial sums involving binomial coefficients and special numbers; Unification of the B-Splines by using generating functions for the Bernstein basis (I. Kucukoglu); and; On Generating Functions For Jacobsthal and Fibonacci Polynomials of Higher Order (G. Ozdemir), The 28th International Conference of the Jangjeon Mathematical Society 15-19 May 2015 Sherwood Club Kemer Hotel Antalya TURKEY.
46) Y. Simsek, ‘’Remarks on Bezier type curves and their applications to Geology’’, 30th Interna-tional Conference on “Ore Potential of Alkaline, Kimberlite and Carbonatite Magmatism” 29 September-02 October 2014, Harrington Park Resort Hotel Antalya, TURKEY.
47) Y. Simsek, ‘’Remarks on the Beta polynomials’’, International Conference on Advances in Applied Mathematics and Mathematical Physics: 19-21 August 2014, Yildiz Technical Uni-versity Istanbul, TURKEY.
48) Y. Simsek, ‘’Remarks on combinatorial identities related to special polynomials’’, The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applica-tions (22nd ICFIDCAA) at Dongguk University 08-11 August 2014 Gyeongju, KOREA.
49) Y. Simsek, ‘’A new approach to identities for the Bernstein basis functions and their generating functions’’, 2014 NIMS Number Theory and Cryptography Conference, 05-06 August 2014 Daejeon, KOREA.
50) Y. Simsek, ‘’Generating functions on q-Calculus’’, The 27th International Conference of The Jangjeon Mathematical Society: p-adic Analysis, Umbral Algebra and Their Applications National Institute for Mathematical Sciences (NIMS) 02-04 August 2014 Daejeon, KOREA
51) Y. Simsek, ‘’Remarks on the central factorial numbers’’, International Congress in Honour of Professor Ravi P. Agarwal June 23-26, 2014, Uludag University, Bursa-TURKEY
52) Y. Simsek, “Remarks on the Beta type polynomials and the Bernstein basis functions” 8th International Conference Curves and Surfaces June 12-18, 2014 Paris, FRANCE
53) Y. Simsek, Probability Distributions related to the Bernstein Polynomials 9th International Statistics Day Symposium (ISDS2014, İGS2014) 10‐14 May, 2014 Side Antalya, TURKEY
54) Y. Simsek, “Remarks on the Bernstein basis functions and their applications” Diophantine Analysis and related fields 2014(DAM2014) Tsukuba University Tsukuba-Japon, 06-08 Marc 2014 Tsukuba-JAPAN
55) Y. Simsek, ‘’Identities for some special polynomials’’, Special Polynomials and their applications 06-07/08/2013 Mysore-INDIA
56) Y. Simsek, ‘’Applications on the beta polynomials’’, 26th International Conference of Jangjeon Mathematical Society 01-04 /08/2013 Bangalore, INDIA
57) Y. Simsek, Remarks On Eulerian Polynomials and Numbers, 28th Journees Arithmetiques, July 01-05, 2013 Grenobel-FRANCE
58) Y. Simsek, Identities associated with generalized Stirling type numbers and Eulerian type polynomials, 4th International Conference on Mathematical and Computational Applications, June 11-13, 2013 Manisa, TURKEY
59) Y. Simsek, Remarks on Y(h,k), International Conference on Applied Analysis ans Mathematical Modelling (ICAAMM2013), 02-05 June 2013 Istanbul, TURKEY.
60) Y. Simsek, Remarks on Beta polynomials, 1st International Western Balkan Conference of Mathematical Sciences (IWBCMS), Elbasan-Albania, May 30 and June 1, 2013.
61) Y. Simsek, PDEs related to generating functions for Bernstein polynomials, Great Plains Operator Theory Symposium, University of California, Berkely-USA, 21-25 May 2013
62) Y. Simsek, p-adic q-integral and some family of L-functions and their applications, 2013 AAPT Winter Meeting New Orleans-USA 05-09, January 2013.
63) Y. Simsek, Relations between Eulerina olynomials and Array Polynomials, Remarks on the Frobenius-Euler polynomials on the umbral algebra (with R. Dere), 10th International Conference of Numerical Analysis and Applied Mathematics Kos-GREECE, 19-25 September 2012.
64) Y. Simsek, i) Remarks on unification of the Bernstein type polynomials ii) Matrix representation of partial Hecke type operators and their applications (with A. A. Aygunes) iii) Normalized polynomials and their multiplication formulas (with R. Dere) iv) Unified representation of the family of L-functions (with H. Ozden) v) On the Generalized Apostol Type Frobenius-Euler Polynomials (with. B. Kurt), International Congress in Honour of Professor Hari M. Srivastava, 23-26 August Bursa- TURKEY.
65) Y. Simsek, Relations between theta-functions and Hardy-Berndt type sums, Building Bridges: 1st US-EU conference on Automorphic Forms and related topics, 30 July-10 August 2012, Aachen-GERMANY.
66) Y. Simsek, i) Remarks on Hecke type operators ii) Applications of Umbral Algebra to Some Special Polynomials 25th International Conference of the Jangjeon Mathematical Society (ICJMS 2012), 25-28 July 2012, Seoul- SOUTH KOREA.
67) Y. Simsek, Generating Functions for special polynomials and their applications, 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, 11-14 July 2012, Vienna-AUSTRIA.
68) Y. Simsek, On interpolation function of the Bernstein polynomials, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, 4-6 July 2012, Weimar-GERMANY.
69) Y. Simsek, On Generating functions for the Bernstein basis functions and their applications, Eighth International Conference on Mathematical Methods for Curves and Surfaces 28 June-03 July 2012, Oslo-NORWAY.
70) Y. Simsek, Remarks on Eulerian numbers and polynomials, 12th Colloquiumfest on Algebra and Logic and 9th Polish, Slovak and Czech Conference on Number Theory 11–14 June 2012, Ostrava-CZECH REPUBLIC.
71) Y. Simsek, Generating functions for classes of the special polynomials and numbers, International Workshop on number Theory related to Generating functions and their Arithmetic, 19-21 October 2011, Univrsity of Evry Paris-FRANCE.
72) 8th International Conference of Numerical Analysis and Applied Mathematics ICNAAM2010, 19-25 September 2011, Hilkidiki- GREECE.
73) Y. Simsek, i)A note on unification of multiple zeta functions ( with A. A. Aygunes) ii) Bernoulli Type Polynomials on Umbral Algebra (with R. Dere) iii) On The Hermite Based-Second Kind Genocchi polynomials (with B. Kurt) The 24 th International Conference of The Jangjeon Mathematical Society 20-23 July 2011, Konya-TURKEY.
74) Y. Simsek, A unified approach to deriving identities for Bernoulli, Euler and Bernstein polynomials the 27 th Journées Arithmétiques, 27 June - 1 July 2011, Vilnius-Lithuania.
75) Y. Simsek, On generating functions for the Bernstein polynomials, The İnternational Conference on Applied Analysis and algebra (ICAAA2011), 29-30 June and 1-2 July 2011, Yıldız Technical University, Putra University of Malaysia, and Fatih University in Istanbul-TURKEY.
76) Y. Simsek, Unification of the Bernoulli, Euler and Genocchi numbers and polynomials related to the family of zeta functions, Arctic Number Theory School 18-25 May 2011, Helsinki-FINLAND.
77) Y. Simsek, i) q-Frobenius-Euler Polynomials Related to the (q−)Bernstein Type Polynomials, with M. Acikgoz, A. Bayad and V. Lokesha ii) Hecke Operators Related to the Generalized Dedekind Eta Functions and Applications, with A. Ahmet Aygunes, 8th International Conference of Numerical Analysis and Applied Mathematics ICNAAM2010, 19-25 September 2010, Rhodes-GREECE.
78) Y. Simsek, i) Construction a new generating function of Bernstein type polynomials ii) The action of Hecke operators to families of Weierstrass type functions and Weber type functions and their applications with A. Ahmet Aygunes iii) Notes on generalization of the Bernoulli type polynomials with Burak Kurt iv) Genocchi polynomials associated with the Umbral Algebra with Rahime Dere International Congress in Honour of Professor H. M. Srivastava on his 70th Birth Anniversary at Uludag University, 18-21 August 2010, Bursa-TURKEY.
79) Y. Simsek, q-Bernoulli type polynomials of higher order associated with multiple q-zeta functions, The XIth meeting of the Canadian Number Theory Association at Acadia University, July 11-16, 2010, Wolfville, Nova Scotia CANADA.
80) Y. Simsek, Interpolation Function of Generalized q-Bernstein type polynomials and their application, Seventh International Conference on Curves and Surfaces, June 24-30, 2010, Avignon-FRANCE.
81) Y. Simsek, Genocchi type polynomials related to arbitrary positive real parameters and their interpolation function, The 23th International Conference of The Jangjeon Mathematical Society at Shahid Chamran University, February 8-10, 2010, Ahvaz-IRAN.
82) Y. Simsek, Dedekind-type sums, workshop on Dedekind sums in geometry, topology, and arithmetic, The Banff International Research Station BIRS Scientific Director, October 11 - October 16, 2009, Nassif Ghoussoub-CANADA. (http://www.birs.ca/birspages.php?task=displayevent&event_id=09w5102)
83) Y. Simsek, 7th International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2009, 18-22 September 2009, Crete-GREECE. AIP Conference Proceedings Volume 1168, i-) Remarks on Interpolation Function of Higher Order (h, q)-Bernoulli Numbers with A. A. Aygunes AIP Conf. Proc. 1168 61 (2009), ii-) Applications of Hecke Operator to Generalized Dedekind Eta Functions with M. Acikgoz, I. N. Cangul, D. Kim AIP Conf. Proc. 1168 568, iii-) A p-adic Look at the Diophantine Equation x2+112k = yn with I. N. Cangul, G. Soydan, AIP Conf. Proc. 1168 275 (2009), iv-) Hurwitz Type Multiple Genocchi Zeta Function with H. Ozden, I. N. Cangul, AIP Conf. Proc. 1148 781 (2009).
84) Y. Simsek, p-adic q-L-functions, The One Day International Workshop on Mathematics and Its Applications to Engineering and Thechnology” at S.J.C. Institute of Technology Chikballapur,17 August 2009, Karnataka-INDIA.
85) Y. Simsek, On Dedekind type DC-Sum, The 22th International Conference of The Jangjeon Mathematical Society at Adichunchanagiri Institute of Technology Chikmagalur,13-15 August 2009, Karnataka, INDIA.
86) Y. Simsek, Multiple Interpolation Functions of Higher Order (h,q)-Bernoulli Numbers, ICNAAM 2008, (http://www.icnaam.org/topics.htm), 6th International Conference of Numerical Analysis and Applied Mathematics Kos-GREECE, 16-20 September 2008, p. 486-489, i-) Multiple Interpolation Functions of Higher Order (h,q)-Bernoulli Numbers, Yilmaz Simsek AIP Conf. Proc. 1048 486 (2008).
87) Y. Simsek, On p-adic q-Dedekind type sums, The 20th International Conference of The Jangjeon Mathematical Society” at Uludag University, August 21-24, 2008, Bursa-TURKEY.
88) Y. Simsek, Workshop on p-adic Fourier Analysis, Kangwoon University Seoul S. KOREA, 2-5 August, 2008.
89) Y. Simsek, p-adic Dedekind and Hardy-Berndt sums related to Volkenborn integral on Z_{p}, The 16th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Dongguk University, July 28-August 1, 2008, Gyeongju, S. KOREA.
90) Y. Simsek, Twisted p-adic L-function, Worksop on Modular Forms and Their Applications, Institute for Mathematical Science, Daejon-S. KOREA, 23-27 July 2008.
91) Y. Simsek, q-Hardy–Berndt type sums associated with q-Genocchi type zeta and q-l-functions, World Congress of Nonlinear Analysts (http://research.fit.edu/ifna/new/wcna2008/first.htm) “The International Federation of Nonlinear Analysts (IFNA) WCNA-2008 Hyatt Grand Cypress Resort, July 2-July 9, 2008, Orlando- USA.
92) Y. Simsek, On generating functions of the Bernoulli polynomials with applications, The Workshop on Mathematical Methods in Applied Sciences is organized by Uludag University, Faculty of Arts and Science, May 22-23, 2008, Bursa-TURKEY.
93) Y. Simsek, p-adic q-L-functions, ICTAMI- International Conference on Theory and Applications in Mathematics and Informatics" organized by "1 Decembrie 1918" University of Alba Iulia, "Simion Stoilow" Mathematical Institute of the Romanian Academy, Kinki University and "Alexander the Great" Technological Institute of Thessalonik will be held at "1 Decembrie 1918" University of Alba Iulia, ROMANIA on August 30 - September 02, 2007.
94) Y. Simsek,Elliptic analogue of the Hardy sums related to elliptic Bernoulli functions, International Symposium on Complex Function Theory" organized by "Lucian Blaga" University of Sibiu, ROMANIA on August 26-29, 2007.
95) Y. Simsek, On generating functions of q-Euler numbers and Polynomials, International Symposium on Geometric Function Theory and application, Kultur University, August 20-24, 2007, Istanbul, TURKEY.
96) Y. Simsek, Workshop on p-adic analysis and its applications, 16-28 July 2007, Taegu-SOUTH KOREA.
97) Y. Simsek, Remarks on q-Barnes’s multiple zeta function and q-Barnes multiple Bernoulli polynomials, The 19th International Conference of The Jangjeon Mathematical Society” at Department of Mathematics, Bangalore University, February 22-24, 2007, Bangalore, INDIA.
98) Y. Simsek, Generating function of the twisted q-Bernoulli polynomials and numbers related to their intepolation functions, The 17th International Conference of The Jangjeon Mathematical Society” at Department of Mathematics, Kyungpook National University, July 2-4, 2006, Taegu, S. KOREA.
99) Y. Simsek, On twisted q-Bernoulli Numbers and twisted q-L-functions, On the 17th International Conference of the Jangjeon Mathematical Society, July 8-9, 2006, Daegu, SOUTH KOREA.
100) Y. Simsek, 2005 Algebraic Geometry-Number Theory Camp, KAIST, Math. Dep., February 1-5, 2005, Daejeon, SOUTH KOREA.
101) Y. Simsek, Workshop on p-adic q- Special Functions and their applications, January 24-February 7, 2005, Taegu-SOUTH KOREA.
102) Y. Simsek, On twisted q-Hurwitz zeta function and q-two-variable L-function, International Semposium On Analytic Function Theory, Fractional Calculus and Their Applications In Honour of Professor H. M. Srivastava on his 65th Birth Anniversary, Victorya University, 22-27 August 2005, Victorya -CANADA.
103) Y. Simsek, Remarks On Reciprocity Laws of the Dedekind and Hardy Sums, The 16th International Conference of the Jangjeon Mathematical Society Akdeniz University, , Antalya-TURKEY, July 04-06, 2005, Proceed. Of the 16th International Conference of the Jangjeon Math. Soc. 4-6 July 2005, 148-158.
104) Y. Simsek, On relations between q-Dirichlet L functions, q-Hurwitz zeta function and q-Dedekind sums, International Workshop on Analysis and Its Application, September 2004, Mersin- TURKEY.
105) Y. Simsek, On Generalized q-Hardy Character Sums, Proceedings of The 15th International Conference of the Jangjeon Mathematical Society, (Hapcheon-Dong, South Korea), (August 05-07, 2004), PP. 7-23. “On Generalized q-Hardy Character Sums”, Proceedings of The 15th International Conference of the Jangjeon Mathematical Society, Hapcheon-Dong, SOUTH KOREA, August 05-07, 2004, pp. 7-23.
106) Y. Simsek, On normalized Eisenstein series and new theta functions, The Proceedings of the 14th International Conference of the Jangjeon Mathematical Society, December 2003-Maysore- INDIA (2003). Proceed. Jangjeon Math. Soc. 8(1) (2005), 25-34.
107) Y. Simsek, Theorems on Weierstrass P(z) Function Hardy sums and Eisenstein series, International Mathematical Conference VI.th Bogolubov Readings, August 26-30, (2003), pp. 300, Kiev-UKRANIA.

Partici pated National Conferences

1) III. National Mathematics Symposium, August 20-24, 1990, Van-Turkey.
2) IV. National Mathematics Symposium, September 2-6, 1991, Hatay-Turkey.
3) XIII. National Mathematics Symposium, September 19-23, 1995, Adana-Turkey.
4) X. National Mathematics Symposium, September 1-5, 1997, Bolu-Turkey.
5) XI. National Mathematics Symposium, September 7-11, 1998, Isparta-Turkey.
6) XIV. National Mathematics Symposium, September 19-21, 2001, Eskişehir-Turkey.
7) XV. National Mathematics Symposium, September 4-7, 2002, Mersin-Turkey.
8) XXIV. National Mathematics Symposium, September 7-10 Eylül 2011 Uludag University Bursa-Turkey.
9) Karataş D., Şimşek Y., Ümit Talas D. , Siğirci M. , Göçer P. , Kara E., "İnsan Ve Mimaride Altin Oran: Kokleanin Morfometrik Analizine Bakiş", 34. Turkish National Ear, Nose and Throat and Head Surgery, ANTALYA, TÜRKİYE, 10-14 Ekim 2012.
10) Y. Simsek, Functional equations for generating functions of the Bernstein basis functions, (26th National Mathematics Symposium) 26. Ulusal Matematik Sempozyumu 04-07 Eylül 2013 Diyarbakır
11) Y. Simsek, Special Numbers and polynomials associated with the Analytic Functions, 27th National Mathematics Symposium (27. Ulusal Matematik Sempozyumu (UMS2014)) 26-29 Ağustos 2014 Yeditepe Üniversitesi-Istanbul
12) Bernstein tipli baz fonksiyonları ve bunların simülasyonu üzerine (I. Kucukoglu), Çift değişkenli Fibonacci tipli polinomlar ailesi için üreteç fonksiyonları ve uygulamaları (G. Ozdemir), 28. Ulusal Matematik Sempozyumu (UMS2015)) 07-09 Eylül 2015 Akdeniz University-Antalya
13) Y. Simsek, "Kuvvetli Euler Sayıları ve buların üreteç fonksiyonları üzerine", 29. Ulusal Matematik Sempozyumu, MERSİN, TURKEY, 28-31 Ağustos 2016, ss.1-1

Referee in the International Mathematical Journals

So far, I have been a referee in 130 different international journals on pure and applied mathematics and their applications.

Seminars-Lectures

1) ''Generating Functions For The Bernstein Type Polynomials And Their Applications'' University of Pittsburgh-USA, 11 January 2013.
2) The history of numbers and the mystery of Bernoulli Numbers, Conference at the Adıyaman University Adıyaman-Turkey, at 28 December, 2009.
3) On Generalized Hardy Sums at Akdeniz University Antalya 2009.
4) Twisted p-adic l-functions, Visiting Research at National Institute for Mathematical Sciences Daejon, S. Korea on July 24-27, 2008.
5) Applications of q-Calculus at Akdeniz University Antalya-Turkey 2008.
6) Seminars on “p-adic Fourier Analysis” at Kwangwoon University Seoul, S. Korea on August 02-06, 2008.
a) On p-adic two variable l-function
b) On Fourier series of the Euler function
7) Bernoulli numbers and polynomials and their applications, Special Lecture at University of Mysore-India on February 2, 2007.
8) q-Bernoulli numbers and polynomials associated with q-Riemann zeta functions and q-Dirichlet l-functions, Special Lecture at Woosuk University Jeonbuk- S.Korea on 5 July, 2006.
9) Seminars on Special Numbers at Debrecen University Hungary on 6-12 May 2006.
10) Transformation of four Titchmarsh-type infinite integrals and generalized Dedekind sums associated with Lambert series, Special Lecture with Professor S. Yang at Sutherland Avenue North Vancouver CCCS&CECM, Canada on August 23, 2005.
11) Seminars on “p-adic Hardy Sums, p-adic Dedekind sums and related areas” at Kongju National University Kongju, S. Korea on 14-07, 2004 and 14-08-2004.
12) Historical Dedekind sums and related some properties, Special Lecture at at Kongju National University Kongju, S. Korea on 26-07, 2004.
13) Reciprocity law of Dedekind and Hardy sums, Special Lecture at KAIST (Korean Advanced Institute of Science and Technology) Daejon, S. Korea on 22-07, 2004.
14) Hardy sums, Special Lecture at Kyungpook National University, S. Korea on 12-08, 2004.
15) q-Carlitz Bernoulli Numbers, Mersin University Mersin-Turkey 2004.
16) Twisted Bernoulli Numbers, Mersin University Mersin-Turkey 2003.
17) On Generalized Dedekind sums, Mersin University Mersin-Turkey 2002.
18) Analytic continuation of q-Riemann zeta function, Mersin University Mersin-Turkey 2001.
19) Twisted Euler numbers, Mersin University Mersin-Turkey 2000.
20) On Hecke operator, Mersin University Mersin-Turkey 1994.
21) Hermitian Matrix Inequalities, Cukurova University Adana-Turkey 1989.

SPECIAL SEMINARS in 2008 with YILMAZ SIMSEK, TAEKYUN KIM (S. Korea), VELİ KURT (Turkey), ISMAIL NACI CANGUL (Turkey) and HACER OZDEN (Turkey) at the AKDENİZ UNIVERSITY ANTALYA TURKEY:

1) Y. Simsek, Interpolations functions of the (h,q)-Euler numbers, 23-01-2008, 10.00-11.00.
2) V. Kurt, On Genocchi numbers and Polynomials, 24-01-2008, 10.00-12.00.
3) T. Kim, Lebesque-Radon Nikodym theorem related to p-adic measure, 24-01-2008, 14.00-16.00.
4) I. N. Cangul, q- Quantum Calculus, 25-01-2008, 10.00-11.00.
5) Y. Simsek, On (h,q)-l-function, 25-01-2008,14.00-15.00.
6) T. Kim, p-adic Kernel integral related to Feyman integral,26-01-2008,10.00-11.00.
7) T. Kim, On fermionic p-adic q-integrals, 26-01-2008, 14.00-15.00.
8) T. Kim, Applications of the fermionic p-adic q-integrals, 28-01-2008, 10.00-11.00.
9) T. Kim, On p-adic q-L functions related to the Volkenborn Integal, 29-01-2008, 14.00-15.00.
10) T. Kim, On open problems, 30-02-2008, 10.00-11.00 and 14.00-15.00.
11) H. Ozden, On p-adic q-measure, 31-02-2008, 10.00-11.00.

SPECIAL SEMINARS in 2007 with YILMAZ SIMSEK , TAEKYUN KIM (S. Korea), VELI KURT (Turkey), ISMAIL NACI CANGUL(Turkey) and HACER OZDEN (Turkey) at the AKDENİZ UNIVERSITY ANTALYA TURKEY:

1) Y. Simsek, p-adic q-zeta functions and L-functions(p-adic q zeta functions and L-functions) 26-01-2007, 10.00-11.00.
2) V. Kurt, On poli q-Genocchi numbers, 27-01-2007, 14.00-15.00.
3) T. Kim, On p-adic numbers and functions, 29-01-2007, 10.00-11.00 and 14.00-13.00.
4) Y. Simsek, On twisted p-adic Dedekind Sums, 30-01-2006, 14.00-15.00.
5) T. Kim, p-adic q-Deform Volkenborn Integral and q- Changhee numbers and Functions, 31-01-2007, 10.00-11.00.
6) T. Kim, Generating functions of the q- Daehee numbers and polynomials, 01-02-2006, 14.00-15.00.
7) V. Kurt, On Dedekind sums,02-02-2007, 10.00-11.00.
8) T. Kim, On p-adic fermionic q-Volkenborn Integal and its applications, 02-02-2007, 14.00-15.00.
9) T. Kim, p-adic Laplace Transform and their applications, 03-02-2007, 10.00-11.00 ve 14.00-15.00.
10) M. Cenkci, p-adic deformed integral, 04-02-2007, saat 10.00-11.00.
11) M. Can, p-adic Hardy Sums, 04-02-2007, 14.00-15.00.

SPECIAL SEMINARS in 2006 with YILMAZ SIMSEK, TAEKYUN KIM (S. Korea), VELİ KURT (Turkey), ISMAIL NACI CANGUL (Turkey) and HACER OZDEN (Turkey) at the AKDENİZ UNIVERSITY ANTALYA TURKEY:

1) Y. Simsek, q-Dedekind type sums related to q-zeta functions, 23-01-2006, 10.00-11.00.
2) V. Kurt, On high dimension of Bernoulli numbers, 23-01-2006, 14.00-15.00.
3) T. Kim, On p-adic numbers and functions, 24-01-2006, 10.00-11.00 and 14.00-13.00.
4) N. Unal, Relations between p-adic q-numbers and Quantum Groups, 25-01-2006, 10.00-11.00.
5) Y. Simsek, On twisted Euler numbers and twisted l-series, 25-01-2006, 14.00-15.00.
6) T. Kim, On Multiple p-adic q- Changhee numbers and Functions,26-01-2006, 10.00-11.00.
7) T. Kim, On Multiple p-adic q- Daehee numbers and Functions,26-01-2006, 14.00-15.00.
8) V. Kurt, On q-Genocchi numbers and q-Genocchi functions, 27-01-2006, 10.00-11.00.
9) T. Kim, On p-adic q-Volkenborn Integal, 27-01-2006, 14.00-15.00.
10) T. Kim, Generating Functions of Special Functions, 01-02-2006, 10.00-11.00 and 14.00-15.00

SPECIAL SEMINARS in 2006 with YILMAZ SIMSEK , AKOS PINTER (Hungary), VELI KURT (Turkey), ISMAIL NACI CANGUL (Turkey), MEHMET CENKCI (Turkey), MUMIN CAN (Turkey) and HACER OZDEN (Turkey) at AKDENİZ UNIVERSITY ANTALYA TURKEY:

1) Y. Simsek (Akdeniz University-Antalya TURKEY), Generating Functions of the q-Bernoulli Numbers 04-07-2007, 10.00-11.00.
2) V. Kurt (Akdeniz University-TURKEY), On Euler and Bernoulli numbers and Polynomials, 05-07-2007, 10.00-11.00.
3) Akos Pinter (Debrecen University-HUNGARY), Diophantine equations and Bernoulli polynomials, 06-07-2007, 10.00-11.00 and 14.00-15.00.
4) M. Cenkci (Akdeniz University-TURKEY), Interpolation function of Euller Numbers, 07-07-2007, 10.00-11.00.
5) Y. Simsek (Akdeniz University-TURKEY), On q-twisted Euler numbers, 08-07-2007, 10.00-11.00.
6) A. Pinter (Debrecen University-HUNGARY), Generating functions of the incomplete Fibonacci and Lucas numbers,09-07-2007, 10.00-11.00.
7) A. Pinter (Debrecen University-HUNGARY), Almost perfect powers in products of consecutive integers,11-07-2007, 10.00-11.00.
8) V. Kurt (Akdeniz University-Bursa TURKEY), On q-Genocchi polynomials, 12-07-2007, 10.00-11.00.
9) H. Ozden (Uludag University-Bursa TURKEY), Relation between generating function of the Bernoulli numbers and p-adic q-Volkenborn Integal, 13-07-2007, 10.00-11.00.
10) M. Can (Akdeniz University-TURKEY), Generating Functions of Special Functions and Their applications, 14-07-2007, 10.00-11.00.
11) I. N. Cangul (Uludag University-Bursa TURKEY), On Elliptic Curves, 15-07-2007, 10.00-11.00.

Workshops

3) p-Adic q-Analysis and Its Applications at Akdeniz University, Antalya-TURKEY, between 23-01-2008 and 01-02-2008.

4) On p-adic analysis and its applications at Kyungpook National University, S. KOREA on 16-28 July 2008.

5) Mathematical methods in applied sciences at Uludag University Bursa-TURKEY on May 22-23, 2008.

6) On p-adic analysis and its applications at Kyungpook National University, S. KOREA on 16-28 July 2007.

7) p-adic q-special functions at Kyungpook National University 24-01-2005 and 07-02-2005, S. KOREA.

8) 2005 Algebraic geometry-number theory camp at Kaist on 1-5 February 2005, Daejon-S. KOREA.

9) On p-adic analysis and q-special functions, 11-14 July 2005 Uludag University, Bursa-TURKEY.

10) p-adic measure, p-adic integral and p-adic dirichlet series, Kongju National University Kongju, S. KOREA on 26-30 July 2004.

11) Analysis ant its applications at Mersin University - TURKEY, 1-5 September 2004.
12) Modular forms at Mersin University, TURKEY, 1-20 July 2001.