A class of logarithmically completely monotonic functions related to the gamma function with applications

被引：22
|
作者：
Guo, Senlin [2 ]
Qi, Feng [3 ,4 ]
Srivastava, H. M. [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[2] Zhongyuan Univ Technol, Dept Math, Zhengzhou 450007, Henan, Peoples R China
[3] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
[4] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Henan, Peoples R China
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2012年 / 23卷 / 08期
关键词：
necessary and sufficient condition; logarithmically completely monotonic function; inequalities; gamma function; psi (or digamma) function; polygamma function; zero-balanced hypergeometric F-p(p-1) series; applications involving two-sided bounding inequalities; PSI FUNCTIONS; INEQUALITIES;
D O I：
10.1080/10652469.2011.611331
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a necessary and sufficient condition and a necessary condition are established for a class of functions involving the gamma function to be logarithmically completely monotonic on (0,infinity). As applications of the necessary and sufficient condition, several two-sided bounding inequalities for the psi and polygamma functions and the ratio of two gamma functions are derived.
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页码：557 / 566
页数：10
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