Theta hypergeometric series

Details Theta hypergeometric series Theta hypergeometric series

2003-03-17

arxiv.org/abs/math/0303204v1

Proc. NATO ASI Asymptotic Combinatorics with Applications to Mathematical Physics (St. Petersburg, July 9-22, 2001), Kluwer, D

Mathematics

Classical Analysis and ODEs

19 pages

Scientific paper

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.

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