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arXiv · 2305.09873

Stirling's Series Revisited

Valerio De Angeis
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Abstract

A concise and elementary derivation of the complete asymptotic expansion for the factorial function $n!$ is presented. This treatment produces a new expression for the coefficients, and it brings to light the simple relationship between the asymptotic expansions of $n!$ and $1/n!$.

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Valerio De Angeis. 2023-05-17. Stirling's Series Revisited. https://doi.org/10.4169/000298909x474918

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