James Hoctor
The Wallis product and the Euler-Poisson integral
Thu 24 April 2025
Years ago I was experimenting with the Euler-Poisson integral in \(n\) dimensions when I derived an infinite product for \(\pi\) known as the Wallis product.
$$\pi = 2\prod\limits_{i=1}^{\infty}\frac{(2i)^2}{(2i-1)(2i+1)}$$
I was only expecting to calculate the areas of \(n\)-spheres, so …
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