A new fast asymptotic series for the gamma function

被引：33

作者：

Mortici, Cristinel ^{[1
,2
]}

机构：

[1] Valahia Univ Targoviste, Targoviste 130082, Romania

[2] Acad Romanian Scientists, Bucharest 050094, Romania

来源：

RAMANUJAN JOURNAL | 2015年 / 38卷 / 03期

关键词：

Gamma function; Approximations; Stirling formula; Asymptotic series; Two-sided inequalities; Speed of convergence;

D O I：

10.1007/s11139-014-9589-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is the scope of this paper to present a new formula for approximating the gamma function. The importance of this new formula consists in the fact that the convergence of the corresponding asymptotic series is very fast in comparison with other classical or recently discovered asymptotic series. Inequalities related to this new formula and asymptotic series are established. Some conjectures are proposed.

引用

页码：549 / 559

页数：11

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