A quicker approximation of the gamma function towards the Windschitl's formula by continued fraction

被引：0

作者：

Wang, Hongzeng ^{[1
]}

Zhang, Qingling ^{[1
]}

Lu, Dawei ^{[2
]}

机构：

[1] Northeastern Univ, Dept Math, Shenyang 110819, Liaoning, Peoples R China

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

来源：

RAMANUJAN JOURNAL | 2019年 / 48卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Stirling's formula; Windschitl's formula; Continued fraction; Gamma function;

D O I：

10.1007/s11139-017-9974-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a quicker approximation with continued fraction and some inequalities for the gamma function based on Windschitl's formula. We also give some numerical computations to demonstrate the superiority of our new approximation over the classical ones.

引用

页码：75 / 90

页数：16

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