Summation, transformation, and expansion formulas for multibasic theta hypergeometric series

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dc.creatorGasper, George
dc.creatorSchlosser, Michael
dc.date2005-05-11
dc.date.accessioned2026-07-07T06:31:21Z
dc.date.available2026-07-07T06:31:21Z
dc.descriptionAfter 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, 2nd ed., Encyclopedia of Mathematics And Its Applications 96, Cambridge University Press, Cambridge, 2004].
dc.description18 pages; for the proceedings of the workshop "Elliptic Integrable Systems" (RIMS, Kyoto, November 8-11, 2004), special volume of the Rokko Lectures in Mathematics
dc.identifierhttps://arxiv.org/abs/math/0505215
dc.identifierhttp://arxiv.org/abs/math/0505215
dc.identifierAdv. Stud. Contemp. Math. (Kyungshang) 11 (2005), no. 1, 67-84
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98577
dc.subjectClassical Analysis and ODEs
dc.subject33D65, 33E20
dc.titleSummation, transformation, and expansion formulas for multibasic theta hypergeometric series
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