A class of logarithmically completely monotonic functions

被引：17

作者：

Guo, Senlin ^{[2
]}

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

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2008年 / 21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 conditions; Logarithmically completely monotonic functions; Completely monotonic functions; Gamma functions; Psi (or digamma) functions; Polygamma functions;

D O I：

10.1016/j.aml.2007.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main object of this work is to give some conditions for a class of functions to be logarithmically completely monotonic. Our result is shown to be an extension of a result which was proven in the recent literature on this subject. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1134 / 1141

页数：8

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