Asymptotic formulas for gamma function with applications

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摘要

In the article, we present several asymptotic formulas for the gamma function in terms of the bivariate means. As applications, some sharp upper and lower bounds for the gamma function and factorial n are given.

论文关键词:Stirling’s formula,Gamma function,Bivariate mean,Factorial

论文评审过程:Received 12 February 2015, Revised 2 June 2015, Accepted 16 August 2015, Available online 5 September 2015, Version of Record 5 September 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.08.087