Monotonicity Properties Related to the Ratio of Two Gamma Functions

被引：1

作者：

Zhou, Nian Hong ^{[1
]}

Niu, Da-Wei ^{[2
]}

机构：

[1] Guangxi Normal Univ, Sch Math & Stat, 1 Yanzhong Rd, Guilin 541006, Guangxi, Peoples R China

[2] Henan Univ Anim Husb & Econ, Dept Sci, 6 North Longzihu Rd, Zhengzhou 450046, Henan, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 03期

关键词：

Euler gamma function Bernoulli polynomials; Completely monotonic functions; Inequality; Approximation;

D O I：

10.1007/s00009-021-01765-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 (Appl Math Comput 283:385-396, 2016).

引用

页数：12

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