Cosine products, Fourier transforms, and random sums

2004/11/17 by Kent E. Morrison
Mathematics · #math.CA #math.PR #msc:40A20 #msc:60B10 #msc:60E10

paper · pdf

published as Amer. Math. Monthly, 102, 1995, 716-724 · 10 pages, 4 figures

arxiv created 2004/11/17 · arxiv updated 2009/12/01

Abstract

We investigate several infinite product of cosines and find the closed form using the Fourier transform. The answers provide limiting distributions for some elementary probability experiments.

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• An interesting family of cosine integrals
• The Fourier Cosine Method for Discrete Probability Distributions
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