Three classes of logarithmically completely monotonic functions involving gamma and psi functions

被引：55
|
作者：
Qi, Feng [1 ]
机构：
[1] Henan Univ, Coll Math & Informat Sci, Kaifeng City 475001, Henan Province, Peoples R China
[2] 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 / 07期
关键词：
logarithmically completely monotonic function; completely monotonic function; ratio; gamma function; psi function; inequality;
D O I：
10.1080/10652460701358976
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By a simple approach, two classes of functions involving Euler's gamma function and originating from certain problems of traffic flow are proved to be logarithmically completely monotonic and a class of functions involving the psi function is showed to be completely monotonic.
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页码：503 / 509
页数：7
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