TY - JOUR T1 - Some Monotonicity Properties on k-Gamma Function TT - k-Gama Fonksiyonu Üzerine Bazı Monotonluk Özellikleri AU - Ege, İnci AU - Yıldırım, Emrah PY - 2019 DA - June Y2 - 2019 JF - Adıyaman University Journal of Science JO - ADYU J SCI PB - Adıyaman Üniversitesi WT - DergiPark SN - 2147-1630 SP - 66 EP - 76 VL - 9 IS - 1 LA - en AB - The aim of this work is to obtain some monotonicity properties for thefunctions involving the logarithms of the k -gamma function for k>0. KW - k-Gamma function KW - Monotonicity KW - k-Polygamma function N2 - Buçalışmanın amacı, olmaküzere -gama fonksiyonunun logaritmasını içerenbazı fonksiyonların monotonluk özelliklerini elde etmektir. CR - Abramowitz M., Stegun I. A., Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Dover, New York, 1965. CR - Alzer H., Some gamma function inequalities, Math. Comp., 60, 337-346, 1993. CR - Alzer H., Inequalities for the gamma and psi functions, Abh. Math. Sem. Hamburg, 68, 363-372, 1998. CR - Anderson, G., Qiu, S. L., A monotoneity property of the gamma function, Proceedings of the American Mathematical Society, 125(11), 3355-3362, 1997. CR - Diaz R., Pariguan E., On hypergeometric functions and Pochhammer k-symbol, Divulg. Mat., 15(2), 179-192, 2007. CR - Elbert, Á., Laforgia, A., On some properties of the gamma function, Proceedings of the American Mathematical Society, 128(9), 2667-2673, 2000. CR - Gautschi W., Some elementary inequalities relating to the gamma and incomplete gamma function, Journal of Mathematics and Physics, 38(1), 77-81, 1959. CR - Gradshteyn, I. S., Ryzhik, I. M. Table of integrals, series, and products. Academic press, 2014. CR - Krasniqi V., Inequalities and monotonicity for the ration of k-gamma function, Scientia Magna, 6(1), 40-45, 2010. CR - Neumann E., Some inequalities for the gamma function, Appl. Math. Comput., 218(8), 4349-4352, 2011. CR - Sandor, J., Sur la fonction Gamma, Publ. C. Rech. Math. Pures Neuchâtel, 4-7, 1989. UR - https://dergipark.org.tr/tr/pub/adyujsci/issue//441038 L1 - https://dergipark.org.tr/tr/download/article-file/730870 ER -