A Probabilistic Proof of a Wallis-type Formula for the Gamma Function
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.
- Publisher
- TAYLOR & FRANCIS INC
- Issue Date
- 2020-01
- Language
- English
- Article Type
- Article
- Citation
AMERICAN MATHEMATICAL MONTHLY, v.127, no.1, pp.75 - 79
- ISSN
- 0002-9890
- Appears in Collection
- RIMS Journal Papers
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