Best estimates of the generalized Stirling formula
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摘要
The aim of this paper is to introduce an approximations family of the factorial function that contains Stirling’s formula, Burnside’s formula and Gosper’s formula. The parameters which provide the best approximations are indicated. Finally, numerical computations are made to show the superiority of our formulas over other known formulas.
论文关键词:Approximations,Speed of convergence,Factorial function,Gamma function
论文评审过程:Available online 16 December 2009.
论文官网地址:https://doi.org/10.1016/j.amc.2009.12.013