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Variations on a Theme by James Stirling

Diego Dominici
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Abstract

We present the history and previous approaches to the proof of Stirling's series. We use a different procedure, based on the asymptotic analysis of the difference equation $Γ(z+1)=zΓ(z)$. The method reproduces Stirling's series very easily and can be extended to use in more complicated difference equations.

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Diego Dominici. 2006-02-28. Variations on a Theme by James Stirling. https://arxiv.org/abs/math/0603007

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