Title
Unified treatment of several asymptotic formulas for the gamma function
Abstract
We consider a class of the asymptotic expansions for the gamma function, and derive a formula for determining the coefficients of the asymptotic expansions. Thus, we give a unified treatment of several asymptotic expansions for the gamma function due to Laplace, Ramanujan---Karatsuba, Gosper, Mortici and Batir.
Year
DOI
Venue
2013
10.1007/s11075-012-9667-6
Numerical Algorithms
Keywords
Field
DocType
Gamma function,Stirling’s series,Asymptotic formula,Primary 33B15,Secondary 41A60
Asymptotic formula,Mathematical optimization,Laplace transform,Mathematical analysis,Asymptotic analysis,Asymptotic expansion,Asymptotic analysis,Mathematics,Gamma function,Method of matched asymptotic expansions
Journal
Volume
Issue
ISSN
64
2
1017-1398
Citations 
PageRank 
References 
7
0.67
9
Authors
1
Name
Order
Citations
PageRank
Chao-Ping Chen15812.24