A refinement of Ramanujan's factorial approximation

被引：17

作者：

Hirschhorn, Michael D. ^{[1
]}

Villarino, Mark B. ^{[2
]}

机构：

[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[2] Univ Costa Rica, Escuela Matemat, San Jose 11501, Costa Rica

来源：

RAMANUJAN JOURNAL | 2014年 / 34卷 / 01期

关键词：

Ramanujan; Stirling's formula; GAMMA FUNCTION;

D O I：

10.1007/s11139-013-9494-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new proof of the monotonicity of the correction term theta(n) in Ramanujan's refinement of Stirling's formula. Moreover we prove that theta(n) is concave.

引用

页码：73 / 81

页数：9

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