Some inequalities and monotonicity properties associated with the gamma and psi functions and the Barnes G-function

被引：18

作者：

Chen, Chao-Ping ^{[2
]}

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

机构：

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

[2] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2011年 / 22卷 / 01期

关键词：

gamma function; psi function; polygamma functions; Barnes's G-function; completely monotonic functions; logarithmically completely monotonic functions; absolutely monotonic functions; inequalities and monotonicity properties; Riemann's zeta function; Hurwitz's (or generalized) zeta function; MULTIPLE GAMMA; ZETA-FUNCTION; SERIES; REPRESENTATIONS; SUMS; EXPANSIONS;

D O I：

10.1080/10652469.2010.483899

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, several properties associated with inequalities and the logarithmically complete monotonicity of functions related to the gamma and psi functions and the Barnes G-function are obtained. Relevant connections of the results presented here with those derived in earlier works are also pointed out.

引用

页码：1 / 15

页数：15