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arXiv · 1907.12095

A Probabilistic Proof of a Wallis-type Formula for the Gamma Function

Wooyoung Chin
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Abstract

We use well-known limit theorems in probability theory to derive a Wallis-type product formula for the gamma function. Our result immediately provides a probabilistic proof of Wallis's product formula for $\pi$, as well as the duplication formula for the gamma function.

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Wooyoung Chin. 2019-07-28. A Probabilistic Proof of a Wallis-type Formula for the Gamma Function. https://arxiv.org/abs/1907.12095

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