Asymptotic formulas for gamma function with applications

被引：29

作者：

Yang, Zhen-Hang ^{[1
]}

Chu, Yu-Ming ^{[1
]}

机构：

[1] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 270卷

基金：

中国国家自然科学基金;

关键词：

Stirling's formula; Gamma function; Bivariate mean; Factorial; COMPLETE MONOTONICITY; FACTORIAL FUNCTION; BURNSIDES FORMULA; INEQUALITIES; APPROXIMATION;

D O I：

10.1016/j.amc.2015.08.087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the article, we present several asymptotic formulas for the gamma function in terms of the bivariate means. As applications, some sharp upper and lower bounds for the gamma function and factorial n are given. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：665 / 680

页数：16

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