title: Padé approximant related to asymptotics for the gamma function.
abstract: Based on the Padé approximation method, we determine the coefficients [Formula: see text] and [Formula: see text] ([Formula: see text]) such that [Formula: see text] where [Formula: see text] is any given integer. Based on the obtained result, we establish new bounds for the gamma function.
authors.affiliation: Department of Mathematics, East China Normal University, 500 Dongchuan Road, Shanghai, 200241 People's Republic of China.
authors.forename: Xin
authors.initials: X
authors.lastname: Li
authors.affiliation: School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, Henan 454000 China.
authors.forename: Chao-Ping
authors.initials: CP
authors.lastname: Chen
keywords: approximation; gamma function; inequality; psi function