Theta hypergeometric series

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We formulate general principles of building hypergeometric type series from the Jacobi theta functions that generalize the plain and basic hypergeometric series. Single and multivariable elliptic hypergeometric series are considered in detail. A characterization theorem for a single variable totally elliptic hypergeometric series is proved.
19 pages

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Classical Analysis and ODEs, 33Dxx, 33E20

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http://salesiana.dossiersoluciones.com/handle/123456789/66809

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303204
 http://arxiv.org/abs/math/0303204
 Proc. NATO ASI Asymptotic Combinatorics with Applications to Mathematical Physics (St. Petersburg, July 9-22, 2001), Kluwer, Dordrecht, 2002, pp. 307-327

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arXiv