Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic

被引：23

作者：

Guo, Senlin

Qi, Feng

Srivastava, H. M. ^{[1
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2M1, Canada

[3] Henan Polytech Univ, Res Inst Math Inequal Theory, Jiaozuo City 454010, Henan Province, Peoples R China

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

necessary and sufficient condition; logarithmically completely monotonic function; completely monotonic function; inequalities; gamma function; digamma and Polygamma functions; Hurwitz zeta function;

D O I：

10.1080/10652460701528933

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, necessary and sufficient conditions under which two classes of functions are, respectively, logarithmically completely monotonic and completely monotonic are presented. From these conditions, several two-sided inequalities for the ratio of two gamma functions are deduced.

引用

页码：819 / 826

页数：8