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. 
DOI: 10.1186/s13660-017-1315-1

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