A general asymptotic formula of the gamma function based on the Burnside's formula

被引：7

作者：

Lu, Dawei ^{[1
]}

Feng, Jinghai ^{[1
]}

Ma, Cong-Xu ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116023, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2014年 / 145卷

基金：

中国国家自然科学基金;

关键词：

Burnside's formula; Stirling's formula; Continued fraction; Factorial function; Rate of convergence; APPROXIMATION; INEQUALITIES; CONSTANT;

D O I：

10.1016/j.jnt.2014.06.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, based on the Burnside's formula and our early works, a general continued fraction approximation of the factorial function and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over the Burnside's formula and our early formulas, some numerical computations are given. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：317 / 328

页数：12

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