Unified treatment of several asymptotic formulas for the gamma function

Authors:
Chao-Ping Chen
Affiliations:
School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, People's Republic of China 454003
Venue:
Numerical Algorithms
Year:
2013

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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.