Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 293-309 |
| Number of pages | 17 |
| Journal | Advanced Studies in Contemporary Mathematics (Kyungshang) |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jul 2019 |
Keywords
- Convexity
- Inequalities
- Monotonicity
- Q-digamma function
- Special functions
- q-gamma function
ASJC Scopus subject areas
- General Mathematics
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