English

A Class of logarithmically completely monotonic functions relating the $q$-gamma function and applications

Classical Analysis and ODEs 2016-07-12 v1

Abstract

In this paper, the logarithmically complete monotonicity property for a functions involving qq-gamma function is investigated for q(0,1).q\in(0,1). As applications of this results, some new inequalities for the qq-gamma function are established. Furthermore, let the sequence rnr_n be defined by n!=2πn(n/e)nern.n!=\sqrt{2\pi n}(n/e)^n e^{r_n}. We establish new estimates for Stirling's formula remainder rn.r_n.

Keywords

Cite

@article{arxiv.1512.08548,
  title  = {A Class of logarithmically completely monotonic functions relating the $q$-gamma function and applications},
  author = {Khaled Mehrez},
  journal= {arXiv preprint arXiv:1512.08548},
  year   = {2016}
}
R2 v1 2026-06-22T12:19:12.553Z