Variations on a Theme by James Stirling

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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.
16 pages

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Classical Analysis and ODEs, History and Overview, 33B15 (primary) 41A60 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/110007

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603007
 http://arxiv.org/abs/math/0603007

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arXiv