English

Complete Monotonicity and Inequalities of Functions Involving $\Gamma$-function

Classical Analysis and ODEs 2017-06-08 v1

Abstract

In this paper, we investigate the complete monotonicity of some functions involving gamma function. Using the monotonic properties of these functions, we derived some inequalities involving gamma and beta functions. Such inequalities arising in probability theory.

Keywords

Cite

@article{arxiv.1706.01971,
  title  = {Complete Monotonicity and Inequalities of Functions Involving $\Gamma$-function},
  author = {M. Al-Jararha},
  journal= {arXiv preprint arXiv:1706.01971},
  year   = {2017}
}

Comments

12 pages

R2 v1 2026-06-22T20:11:10.152Z