Variations on a Theme by James Stirling
classification
🧮 math.CA
math.HO
keywords
stirlingdifferencegammaseriesanalysisapproachesasymptoticcomplicated
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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 $\Gamma(z+1)=z\Gamma(z)$. The method reproduces Stirling's series very easily and can be extended to use in more complicated difference equations.
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