On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas

被引:1
作者
Chen, Chao-Ping [1 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454000, Henan, Peoples R China
关键词
Gamma function; Asymptotic expansion; Inequality; GENERATED APPROXIMATION; ACCURATE APPROXIMATIONS; RAMANUJAN FORMULA; INEQUALITIES;
D O I
10.1016/j.amc.2015.12.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present new asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:417 / 431
页数:15
相关论文
共 61 条
[41]  
Mortici C, 2012, CARPATHIAN J MATH, V28, P301
[42]  
Mortici C, 2011, J MATH INEQUAL, V5, P611
[43]   On Ramanujan's large argument formula for the Gamma function [J].
Mortici, Cristinel .
RAMANUJAN JOURNAL, 2011, 26 (02) :185-192
[44]   Improved asymptotic formulas for the gamma function [J].
Mortici, Cristinel .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (11) :3364-3369
[45]   Ramanujan's estimate for the gamma function via monotonicity arguments [J].
Mortici, Cristinel .
RAMANUJAN JOURNAL, 2011, 25 (02) :149-154
[46]   Ramanujan formula for the generalized Stirling approximation [J].
Mortici, Cristinel .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (06) :2579-2585
[47]   Asymptotic expansions of the generalized Stirling approximations [J].
Mortici, Cristinel .
MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (9-10) :1867-1868
[48]   New improvements of the Stirling formula [J].
Mortici, Cristinel .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) :699-704
[49]   The asymptotic series of the generalized Stirling formula [J].
Mortici, Cristinel .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (03) :786-791
[50]   A new Stirling series as continued fraction [J].
Mortici, Cristinel .
NUMERICAL ALGORITHMS, 2011, 56 (01) :17-26