Article ID Journal Published Year Pages File Type
1710018 Applied Mathematics Letters 2010 4 Pages PDF
Abstract

The goal of this paper is to prove the following asymptotic formula Γ(x)≈2πe−b(x+b)xexp(−x−12ψ(x+c)) as x∈N,x→∞, where Γ is the Euler Gamma function and ψψ is the digamma function, namely, the logarithmic derivative of Γ. Moreover, optimal values of parameters b,cb,c are calculated in such a way that this asymptotic convergence is the best possible.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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