Cosine products, Fourier transforms, and random sums

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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.
10 pages, 4 figures

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Classical Analysis and ODEs, Probability, 40A20 (Primary) 60B10, 60E10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/73266

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411380
 http://arxiv.org/abs/math/0411380
 Amer. Math. Monthly, 102, 1995, 716-724

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arXiv