Four logarithmically completely monotonic functions involving gamma function

被引：14

作者：

Qi, Feng ^{[1
,2
]}

Niu, Da-Wei ^{[3
]}

Cao, Jian ^{[4
]}

Chen, Shou-Xin ^{[1
]}

机构：

[1] Henan Univ, Coll Math & Informat Sci, Kaifeng City 475001, Henan Province, Peoples R China

[2] Henan Polytechn Univ, Res Inst Math Inequal Theory, Jiaozuo City 454010, Henan Province, Peoples R China

[3] Zhongyuan Univ Technol, Coll Informat & Business, Zhengzhou City 450007, Henan Province, Peoples R China

[4] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 02期

关键词：

logarithmically completely monotonic function; completely monotonic function; ratio of the gamma functions; Kershaw's inequality; Laforgia's inequality; Stirling's formula; Wendel's inequality;

D O I：

10.4134/JKMS.2008.45.2.559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two classes of functions, involving a parameter and the classical Euler gamma function, and two functions, involving the classical Euler gamma function, are verified to be logarithmically completely monotonic in (- 1/2, infinity) or (0, infinity); some inequalities involving the classical Euler gamma function are deduced and compared with those originating from certain problems of traffic flow, due to J. Wendel and A. Laforgia, and relating to the well known Stirling's formula.

引用

页码：559 / 573

页数：15

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