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arXiv · 1804.04296

Special values of $q$-gamma products

Tanay Wakhare
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Abstract

We consider products of $q$-gamma functions with rational arguments, and prove several $q$-generalizations of recent works concerning products of gamma functions. In particular, we consider products indexed by Dirichlet characters, and provide several new values for infinite products in terms of $e^{-\pi}$ and gamma functions.

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Tanay Wakhare. 2018-04-12. Special values of $q$-gamma products. https://arxiv.org/abs/1804.04296

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