A Probabilistic Proof of Wallis's Formula for π

DOI10.1080/00029890.2008.11920586zbMath1229.11165arXiv0709.2181OpenAlexW2964288867MaRDI QIDQ3107130

Steven J. Miller

Publication date: 1 January 2012

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2181

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Evaluation of number-theoretic constants (11Y60) Sequences and series (educational aspects) (97I30) Number theory (educational aspects) (97F60) Probability theory (educational aspects) (97K50)

Related Items (10)

The probabilistic nature of Wallis's formula ⋮ Estimates for Wallis' ratio and related functions ⋮ Quantum mechanical derivation of the Wallis formula for π ⋮ Inequalities and asymptotic expansions associated with the Wallis sequence ⋮ Sharp inequalities and asymptotic expansion associated with the Wallis sequence ⋮ Some properties of the remainders in certain series representations for the constant \(\pi\) ⋮ Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ Removing magic from the normal distribution and the Stirling and Wallis formulas ⋮ On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas ⋮ A Probabilistic Proof of a Wallis-type Formula for the Gamma Function

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