Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 7 Sayı: 2, 235 - 242, 15.10.2019

Öz

Kaynakça

  • [1] A. Boussayoud, S. Boughaba, M. Kerada, S. Araci and M. Acikgoz, Generating functions of binary products of k-Fibonacci and orthogonal polynomials, Rev. R. Acad. Cienc. Exactas F´ıs. Nat., Ser. A Mat. 113, (2019), 2575-2586.
  • [2] A. Boussayoud, S. Boughaba, On Some Identities and Generating Functions for k-Pell sequences and Chebyshev polynomials, Online J. Anal. Comb. 14 #3, (2019), 1-13.
  • [3] A. Boussayoud and A. Abderrezzak, Complete Homogeneous Symmetric Functions and Hadamard Product, Ars Comb. 144, (2019), 81-90.
  • [4] A. Boussayoud, A. Abderrezzak and S. Araci, A new symmetric endomorphism operator for some generalizations of certain generating functions, Notes Number Theory Discrete Math.24, (2018), 45-58, .
  • [5] A. Boussayoud, M. Kerada, N. Harrouche, On the k-Lucas numbers and Lucas Polynomials, Turkish Journal of Analysis and Number.5(3), (2017), 121-125.
  • [6] A. Boussayoud, A. Abderrezzak, On Some Identities and Generating Functions for Hadamard Product, Electron. J. Math. Analysis Appl.5(2), (2017), 89-97.
  • [7] A. Boussayoud, M. Bolyer, M. Kerada, On Some Identities and Symmetric Functions for lucas and pell numbers, Electron. J. Math. Analysis Appl. 5(1), (2017), 202-207, .
  • [8] A. Boussayoud, Symmetric functions for k-Pell Numbers at negative indices, Tamap Journal of Mathematics and Statistics. 1ID20, (2017), 1-8.
  • [9] A. Boussayoud, On some identities and generating functions for Pell-Lucas numbers, Online.J. Anal. Comb. 12 1-10, (2017).
  • [10] A. Boussayoud, N. Harrouche, Complete Symmetric Functions and k- Fibonacci Numbers, Commun. Appl. Anal. 20, (2016), 457-467.
  • [11] C. Bolat, H Kose, On the Properties of k-Fibonacci Numbers, Int. J. Contemp. Math. Sciences. 5, 1097-1105, (2010).
  • [12] P. Catarino, On Some Identities and Generating Functions for k- Pell Numbers, Int. Journal of Math. Analysis. 7, 1877-1884, (2013).
  • [13] M. Asci, E. Gurel, Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials, Notes Number Theory Discrete Math.19, 25-36, (2013).
  • [14] D. Jhala, G.P.S. Rathore, K Sisodiya, Some Properties of k-Jacobsthal Numbers with Arithmetic Indexes, Turkish Journal of Analysis and Number.2(4), (2014), 119-124.
  • [15] A.F Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Q. 3, 161–176, (1965).
  • [16] S. Falcon, A. Plaza, On the Fibonacci k- numbers, Chaos, Salutions & Fractals. 32, (2007), 1615-1624.
  • [17] S. Falcon, A. Plaza, The k- Fibonacci sequence and the Pascal 2-triangle, Chaos, Salutions & Fractals. 33, (2008), 38-49.
  • [18] N. Y. Ozgur, J. Sokol, On starlike functions connected with k-Fibonacci numbers, Bull. Malays. Math. Sci. Soc. 38 (2015), 249-258.
  • [19] N. Y. Ozgur, S. U car, New presentations for real numbers, Math. Sci.Appl. E-Notes 3 (2015), 13–17.
  • [20] N. Y. Ozgur, S. U car, O. Oztun c, Complex factorizations of the k-Fibonacci and k-Lucas numbers, An. S tiint. Univ. Al. I. Cuza Ia si. Mat., 62 (2016), 13–20.

On Some Identities And Generating Function of Both K-jacobsthal Numbers and Symmetric Functions in Several Variables

Yıl 2019, Cilt: 7 Sayı: 2, 235 - 242, 15.10.2019

Öz

In this paper, we derive new generating functions for the products of $k$-Fibonacci numbers at negative indices, $k$-Pell numbers at negative indices, $k$-Jacobsthal numbers at negative indices, the\ product of $k$-Fibonacci numbers and Tribonacci numbers, Jacobsthal polynomials and symmetric functions in several variables by making use of useful properties of the symmetric functions.

Kaynakça

  • [1] A. Boussayoud, S. Boughaba, M. Kerada, S. Araci and M. Acikgoz, Generating functions of binary products of k-Fibonacci and orthogonal polynomials, Rev. R. Acad. Cienc. Exactas F´ıs. Nat., Ser. A Mat. 113, (2019), 2575-2586.
  • [2] A. Boussayoud, S. Boughaba, On Some Identities and Generating Functions for k-Pell sequences and Chebyshev polynomials, Online J. Anal. Comb. 14 #3, (2019), 1-13.
  • [3] A. Boussayoud and A. Abderrezzak, Complete Homogeneous Symmetric Functions and Hadamard Product, Ars Comb. 144, (2019), 81-90.
  • [4] A. Boussayoud, A. Abderrezzak and S. Araci, A new symmetric endomorphism operator for some generalizations of certain generating functions, Notes Number Theory Discrete Math.24, (2018), 45-58, .
  • [5] A. Boussayoud, M. Kerada, N. Harrouche, On the k-Lucas numbers and Lucas Polynomials, Turkish Journal of Analysis and Number.5(3), (2017), 121-125.
  • [6] A. Boussayoud, A. Abderrezzak, On Some Identities and Generating Functions for Hadamard Product, Electron. J. Math. Analysis Appl.5(2), (2017), 89-97.
  • [7] A. Boussayoud, M. Bolyer, M. Kerada, On Some Identities and Symmetric Functions for lucas and pell numbers, Electron. J. Math. Analysis Appl. 5(1), (2017), 202-207, .
  • [8] A. Boussayoud, Symmetric functions for k-Pell Numbers at negative indices, Tamap Journal of Mathematics and Statistics. 1ID20, (2017), 1-8.
  • [9] A. Boussayoud, On some identities and generating functions for Pell-Lucas numbers, Online.J. Anal. Comb. 12 1-10, (2017).
  • [10] A. Boussayoud, N. Harrouche, Complete Symmetric Functions and k- Fibonacci Numbers, Commun. Appl. Anal. 20, (2016), 457-467.
  • [11] C. Bolat, H Kose, On the Properties of k-Fibonacci Numbers, Int. J. Contemp. Math. Sciences. 5, 1097-1105, (2010).
  • [12] P. Catarino, On Some Identities and Generating Functions for k- Pell Numbers, Int. Journal of Math. Analysis. 7, 1877-1884, (2013).
  • [13] M. Asci, E. Gurel, Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials, Notes Number Theory Discrete Math.19, 25-36, (2013).
  • [14] D. Jhala, G.P.S. Rathore, K Sisodiya, Some Properties of k-Jacobsthal Numbers with Arithmetic Indexes, Turkish Journal of Analysis and Number.2(4), (2014), 119-124.
  • [15] A.F Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Q. 3, 161–176, (1965).
  • [16] S. Falcon, A. Plaza, On the Fibonacci k- numbers, Chaos, Salutions & Fractals. 32, (2007), 1615-1624.
  • [17] S. Falcon, A. Plaza, The k- Fibonacci sequence and the Pascal 2-triangle, Chaos, Salutions & Fractals. 33, (2008), 38-49.
  • [18] N. Y. Ozgur, J. Sokol, On starlike functions connected with k-Fibonacci numbers, Bull. Malays. Math. Sci. Soc. 38 (2015), 249-258.
  • [19] N. Y. Ozgur, S. U car, New presentations for real numbers, Math. Sci.Appl. E-Notes 3 (2015), 13–17.
  • [20] N. Y. Ozgur, S. U car, O. Oztun c, Complex factorizations of the k-Fibonacci and k-Lucas numbers, An. S tiint. Univ. Al. I. Cuza Ia si. Mat., 62 (2016), 13–20.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Souhila Boughaba Bu kişi benim

Ali Boussayoud

Yayımlanma Tarihi 15 Ekim 2019
Gönderilme Tarihi 3 Aralık 2017
Kabul Tarihi 22 Temmuz 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 2

Kaynak Göster

APA Boughaba, S., & Boussayoud, A. (2019). On Some Identities And Generating Function of Both K-jacobsthal Numbers and Symmetric Functions in Several Variables. Konuralp Journal of Mathematics, 7(2), 235-242.
AMA Boughaba S, Boussayoud A. On Some Identities And Generating Function of Both K-jacobsthal Numbers and Symmetric Functions in Several Variables. Konuralp J. Math. Ekim 2019;7(2):235-242.
Chicago Boughaba, Souhila, ve Ali Boussayoud. “On Some Identities And Generating Function of Both K-Jacobsthal Numbers and Symmetric Functions in Several Variables”. Konuralp Journal of Mathematics 7, sy. 2 (Ekim 2019): 235-42.
EndNote Boughaba S, Boussayoud A (01 Ekim 2019) On Some Identities And Generating Function of Both K-jacobsthal Numbers and Symmetric Functions in Several Variables. Konuralp Journal of Mathematics 7 2 235–242.
IEEE S. Boughaba ve A. Boussayoud, “On Some Identities And Generating Function of Both K-jacobsthal Numbers and Symmetric Functions in Several Variables”, Konuralp J. Math., c. 7, sy. 2, ss. 235–242, 2019.
ISNAD Boughaba, Souhila - Boussayoud, Ali. “On Some Identities And Generating Function of Both K-Jacobsthal Numbers and Symmetric Functions in Several Variables”. Konuralp Journal of Mathematics 7/2 (Ekim 2019), 235-242.
JAMA Boughaba S, Boussayoud A. On Some Identities And Generating Function of Both K-jacobsthal Numbers and Symmetric Functions in Several Variables. Konuralp J. Math. 2019;7:235–242.
MLA Boughaba, Souhila ve Ali Boussayoud. “On Some Identities And Generating Function of Both K-Jacobsthal Numbers and Symmetric Functions in Several Variables”. Konuralp Journal of Mathematics, c. 7, sy. 2, 2019, ss. 235-42.
Vancouver Boughaba S, Boussayoud A. On Some Identities And Generating Function of Both K-jacobsthal Numbers and Symmetric Functions in Several Variables. Konuralp J. Math. 2019;7(2):235-42.
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