Monotonicity properties related to the ratio of two gamma functions
Classical Analysis and ODEs
2021-04-06 v1 Number Theory
Abstract
In this paper we investigate the monotonicity properties related to the ratio of gamma functions, from which some related asymptotics and inequalities are established. Some special cases also confirm the conjectures of C.-P. Chen [Monotonicity properties, inequalities, and asymptotic expansions associated with the gamma function. Appl. Math. Comput. 283 (2016), 385--396.].
Cite
@article{arxiv.2104.01880,
title = {Monotonicity properties related to the ratio of two gamma functions},
author = {Nian Hong Zhou and Da-Wei Niu},
journal= {arXiv preprint arXiv:2104.01880},
year = {2021}
}
Comments
10 pages, accepted for publication in Mediterranean Journal of Mathematics