Stirling's formula derived simply

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Stirling's formula, the asymptotic expansion of $n!$ for $n$ large, or of $Γ(z)$ for $z\to \infty$, is derived directly from the recursion equation $Γ(z+1) =z Γ(s)$ and the normalization condition $Γ({1/2}) =\sqrtπ$.
4 pages; omitted second author added

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Combinatorics, 33B15; 11B37

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http://salesiana.dossiersoluciones.com/handle/123456789/160825

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.4412
 http://arxiv.org/abs/0711.4412

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arXiv