A Probabilistic Proof of a Wallis-type Formula for the Gamma Function
Probability
2019-07-30 v1 Number Theory
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 , as well as the duplication formula for the gamma function.
Cite
@article{arxiv.1907.12095,
title = {A Probabilistic Proof of a Wallis-type Formula for the Gamma Function},
author = {Wooyoung Chin},
journal= {arXiv preprint arXiv:1907.12095},
year = {2019}
}
Comments
5 pages