与两个伽马函数之比相关的单调性性质
经典分析与常微分方程
2021-04-06 v1 数论
摘要
本文研究了与伽马函数之比相关的单调性性质，由此建立了一些相关的渐近式与不等式。若干特例也证实了 C.-P. Chen 的猜想 [Monotonicity properties, inequalities, and asymptotic expansions associated with the gamma function. Appl. Math. Comput. 283 (2016), 385--396.]。
引用
@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}
}
备注
10 pages, accepted for publication in Mediterranean Journal of Mathematics