We consider convexity and monotonicity properties for some functions related to the g-gamma function. As applications, we give a variety of inequalities for the ç-gamma function, the q-digamma function ψq(x), and the g-serieB. Among other consequences, we improve a result of Alzer and Grinshpan about the zeros of the function ψq(x). We use q-analogues for the Gauss multiplication formula to put in closed form members of some of our inequalities.
|Number of pages||17|
|Journal||Advanced Studies in Contemporary Mathematics (Kyungshang)|
|Publication status||Published - Jul 2019|
- Q-digamma function
- Special functions
- q-gamma function
ASJC Scopus subject areas