A note on Ramanujan's factorial approximation

被引：0
作者：
You, Xu [1 ,2 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
[2] Beijing Inst Petrochem Technol, Dept Math & Phys, Beijing 102617, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2016年 / 12卷 / 05期
关键词：
Ramanujan; Stirlings formula; approximations; GAMMA FUNCTION;
D O I：
10.1142/S179304211650072X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this note is to improve an approximation formula of Ramanujan-type discussed by Hirschhorn and Villarino.
引用
收藏
页码：1187 / 1194
页数：8
相关论文
共 7 条
[1]  
Abramowitz M., 2011, RAMANUJAN J, V25, P149
[2]   On Ramanujan's double inequality for the gamma function [J].
Alzer, H .
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2003, 35 :601-607
[3]  
[Anonymous], 1972, HDB MATH FUNCTIONS F
[4]   A refinement of Ramanujan's factorial approximation [J].
Hirschhorn, Michael D. ;
Villarino, Mark B. .
RAMANUJAN JOURNAL, 2014, 34 (01) :73-81
[5]   On the asymptotic representation of the Euler gamma function by Ramanujan [J].
Karatsuba, EA .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 135 (02) :225-240
[6]   On Ramanujan's large argument formula for the Gamma function [J].
Mortici, Cristinel .
RAMANUJAN JOURNAL, 2011, 26 (02) :185-192
[7]  
RAMANUJAN S, 1998, LOST NOTEBOOK OTHER
1