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
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
收藏
页码:819 / 826
页数:8
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