Year 2019, Volume 9, Issue 1, Pages 66 - 76 2019-06-28

Some Monotonicity Properties on k-Gamma Function
k-Gama Fonksiyonu Üzerine Bazı Monotonluk Özellikleri

Emrah YILDIRIM [1] , İnci EGE [2]

28 46

The aim of this work is to obtain some monotonicity properties for the functions involving the logarithms of the k -gamma function for k>0.

Bu çalışmanın amacı,  olmak üzere -gama fonksiyonunun logaritmasını içeren bazı fonksiyonların monotonluk özelliklerini elde etmektir.

  • Abramowitz M., Stegun I. A., Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965.
  • Alzer H., Some gamma function inequalities, Math. Comp., 60, 337-346, 1993.
  • Alzer H., Inequalities for the gamma and psi functions, Abh. Math. Sem. Hamburg, 68, 363-372, 1998.
  • Anderson, G., Qiu, S. L., A monotoneity property of the gamma function, Proceedings of the American Mathematical Society, 125(11), 3355-3362, 1997.
  • Diaz R., Pariguan E., On hypergeometric functions and Pochhammer k-symbol, Divulg. Mat., 15(2), 179-192, 2007.
  • Elbert, Á., Laforgia, A., On some properties of the gamma function, Proceedings of the American Mathematical Society, 128(9), 2667-2673, 2000.
  • Gautschi W., Some elementary inequalities relating to the gamma and incomplete gamma function, Journal of Mathematics and Physics, 38(1), 77-81, 1959.
  • Gradshteyn, I. S., Ryzhik, I. M. Table of integrals, series, and products. Academic press, 2014.
  • Krasniqi V., Inequalities and monotonicity for the ration of k-gamma function, Scientia Magna, 6(1), 40-45, 2010.
  • Neumann E., Some inequalities for the gamma function, Appl. Math. Comput., 218(8), 4349-4352, 2011.
  • Sandor, J., Sur la fonction Gamma, Publ. C. Rech. Math. Pures Neuchâtel, 4-7, 1989.
Primary Language en
Subjects Basic Sciences
Journal Section Table of Contents
Authors

Orcid: 0000-0002-4563-5275
Author: Emrah YILDIRIM
Institution: ADNAN MENDERES ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ
Country: Turkey


Orcid: 0000-0002-3702-7456
Author: İnci EGE (Primary Author)
Institution: ADNAN MENDERES ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ
Country: Turkey


Dates

Publication Date: June 28, 2019

Bibtex @research article { adyusci441038, journal = {Adıyaman University Journal of Science}, issn = {2147-1630}, eissn = {2146-586X}, address = {Adıyaman University}, year = {2019}, volume = {9}, pages = {66 - 76}, doi = {}, title = {Some Monotonicity Properties on k-Gamma Function}, key = {cite}, author = {YILDIRIM, Emrah and EGE, İnci} }
APA YILDIRIM, E , EGE, İ . (2019). Some Monotonicity Properties on k-Gamma Function. Adıyaman University Journal of Science, 9 (1), 66-76. Retrieved from http://dergipark.org.tr/adyusci/issue/46527/441038
MLA YILDIRIM, E , EGE, İ . "Some Monotonicity Properties on k-Gamma Function". Adıyaman University Journal of Science 9 (2019): 66-76 <http://dergipark.org.tr/adyusci/issue/46527/441038>
Chicago YILDIRIM, E , EGE, İ . "Some Monotonicity Properties on k-Gamma Function". Adıyaman University Journal of Science 9 (2019): 66-76
RIS TY - JOUR T1 - Some Monotonicity Properties on k-Gamma Function AU - Emrah YILDIRIM , İnci EGE Y1 - 2019 PY - 2019 N1 - DO - T2 - Adıyaman University Journal of Science JF - Journal JO - JOR SP - 66 EP - 76 VL - 9 IS - 1 SN - 2147-1630-2146-586X M3 - UR - Y2 - 2019 ER -
EndNote %0 Adıyaman University Journal of Science Some Monotonicity Properties on k-Gamma Function %A Emrah YILDIRIM , İnci EGE %T Some Monotonicity Properties on k-Gamma Function %D 2019 %J Adıyaman University Journal of Science %P 2147-1630-2146-586X %V 9 %N 1 %R %U
ISNAD YILDIRIM, Emrah , EGE, İnci . "Some Monotonicity Properties on k-Gamma Function". Adıyaman University Journal of Science 9 / 1 (June 2019): 66-76.
AMA YILDIRIM E , EGE İ . Some Monotonicity Properties on k-Gamma Function. Adıyaman University Journal of Science. 2019; 9(1): 66-76.
Vancouver YILDIRIM E , EGE İ . Some Monotonicity Properties on k-Gamma Function. Adıyaman University Journal of Science. 2019; 9(1): 76-66.