A probabilistic proof of Wallis's formula for pi

Details A probabilistic proof of Wallis's formula for pi A probabilistic proof of Wallis's formula for pi

2007-09-13

arxiv.org/abs/0709.2181v2

American Mathematical Monthly 115 (2008), no. 8, 740 - 745

Mathematics

Number Theory

Ver 1.1, 7 pages (slightly condensed version will appear in the Notes section of the American Mathematical Monthly)

Scientific paper

Using mostly elementary results and functions from probability, we prove
Wallis's formula for pi: pi/2 = prod_n (2n * 2n) / ((2n-1) * (2n+1)). The proof
involves normalization constants and the Gamma function, Standard normal, and
the Student t-Distribution.

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