Ramanujan formula for the generalized Stirling approximation

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摘要

The aim of this paper is to improve Ramanujan’s formula for approximation of the factorial function, starting from Burnside’s formula in contradistinction with the classical formula that starts from Stirling’s formula.

论文关键词:Stirling’s formula,Burnside’s formula,Ramanujan’s formula,Factorial function,Gamma function,Approximations,Rate of convergence

论文评审过程:Available online 30 July 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.07.070