A quicker continued fraction approximation of the gamma function related to the Windschitl's formula

被引：2

作者：

Lu, Dawei ^{[1
]}

Song, Lixin ^{[1
]}

Ma, Congxu ^{[1
]}

机构：

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

来源：

NUMERICAL ALGORITHMS | 2016年 / 72卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Windschitl's formula; Stirling's formula; Continued fraction; Rate of convergence; Gamma function; CONSTANT;

D O I：

10.1007/s11075-015-0070-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the Windschitl's formula, a new continued fraction approximation and some inequalities for the gamma function are established. Finally, for demonstrating the superiority of our new series over the classical ones, some numerical computations are given.

引用

页码：865 / 874

页数：10