Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function

被引：24

作者：

Qi, Feng ^{[1
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2014年 / 268卷

基金：

中国国家自然科学基金;

关键词：

Integral representation; Complete monotonicity; Logarithmically completely monotonic function; Remainder; Burnside's formula; Gamma function; APPROXIMATION; PROPERTY;

D O I：

10.1016/j.cam.2014.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, the authors establish integral representations of some functions related to the remainder of Burnside's formula for the gamma function and find the (logarithmically) complete monotonicity of these and related functions. These results extend and generalize some known conclusions. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：155 / 167

页数：13