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The Asymptotic Expansion of an Approximation Formula for the Factorial FunctionKeywords: Factorial function , Stirling's formula , numeric series Abstract: . The aim of this paper is to construct the asymptotic series of the approximation formulan!≈√(((2π)/e))(((n+1)/e))^{n+(1/2)}stated in Mortici [Arch. Math. (Basel) 93(2009) no. 1 37-45].
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