An Infinite Product for e^gamma via Hypergeometric Formulas for Euler's Constant, gamma

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We derive hypergeometric formulas for Euler's constant, gamma. A "by-product" of Thomae's transformation is an infinite product for e^gamma involving the binomial coefficients. Alternate, non-hypergeometric proofs use a double integral for gamma, the beta integral, and an integral for the digamma function. (I thank P. Sebah, S. Zlobin, and W. Zudilin for valuable suggestions used in the paper.)
5 pages, 1 figure, submitted for publication

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Classical Analysis and ODEs, Number Theory, Primary 33C20; Secondary 11Y60, 33B15

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http://salesiana.dossiersoluciones.com/handle/123456789/67636

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306008
 http://arxiv.org/abs/math/0306008

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arXiv