Complete monotonicity results for some functions involving the gamma and polygamma functions

被引：21

作者：

Sevli, Hamdullah ^{[1
]}

Batir, Necdet ^{[2
]}

机构：

[1] Istanbul Commerce Univ, Dept Math, Fac Arts & Sci, Istanbul, Turkey

[2] Nevsehir Univ, Dept Math, Fac Arts & Sci, Nevsehir, Turkey

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 9-10期

关键词：

Gamma function; Complete monotonicity; Digamma function; Polygamma functions; Stirling formula; Harmonic numbers; INEQUALITIES; PSI; FORMULA;

D O I：

10.1016/j.mcm.2010.12.055

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we prove new complete monotonicity properties of some functions involving the gamma function. As consequences of them we establish various new upper and lower bounds for the gamma function and the harmonic numbers. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1771 / 1775

页数：5

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