Complete monotonicity involving some ratios of gamma functions

被引：16

作者：

Yang, Zhen-Hang ^{[1
,2
]}

Zheng, Shen-Zhou ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing, Peoples R China

[2] State Grid Zhejiang Elect Power Co Res Inst, Dept Sci & Technol, Hangzhou 310014, Zhejiang, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

基金：

美国国家科学基金会;

关键词：

completely monotonic function; logarithmically completely monotonic function; gamma function; psi function; INEQUALITIES; EXTENSIONS; BOUNDS;

D O I：

10.1186/s13660-017-1527-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic. As consequences, these not only unify and improve certain known results including Qi's and Ismail's conclusions, but also can generate some new inequalities.

引用

页数：17

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