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Abstract: After reviewing some fundamental facts from the theory of theta hypergeometric series we derive, using indefinite summation, several summation, transformation, and expansion formulas for multibasic theta hypergeometric series. Some of the identities presented here generalize corresponding formulas given in Chapter 11 of the Gasper and Rahman book [Basic hypergeometric series, 2 ed., Encyclopedia of Mathematics And Its Applications 96, Cambridge University Press, Cambridge, 2004]. 1. (Update)
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Citations (may not include all citations):160 Exactly solved models in statistical mechanics (context) - Baxter - 1982
81 Encyclopedia of Mathematics And Its Applications (context) - Gasper, Rahman et al. - 2004 ACM
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1 Theta hypergeometric series (context) - Spiridonov - 2002
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