Variations on a Theme by James Stirling

Details Variations on a Theme by James Stirling Variations on a Theme by James Stirling

2006-02-28

arxiv.org/abs/math/0603007v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

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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