Some new inequalities for the $q$-gamma and related functions
Number Theory
2019-02-26 v2
Abstract
We consider convexity and monotonicity properties for some functions related to the -gamma function. As applications, we give a variety of inequalities for the -gamma function, the -digamma function , and the -series. Among other consequences, we improve a result of Azler~and~Grinshpan about the zeros of the function . We use -analogues for the Gauss multiplication formula to put in closed form members of some of our inequalities.
Cite
@article{arxiv.1805.01999,
title = {Some new inequalities for the $q$-gamma and related functions},
author = {Mohamed El Bachraoui and József Sándor},
journal= {arXiv preprint arXiv:1805.01999},
year = {2019}
}
Comments
Submitted 23 January 2019, pages 17