Multilateral transformations of q-series with quotients of parameters that are nonnegative integer powers of q

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dc.creatorSchlosser, Michael
dc.date2001-02-21
dc.date.accessioned2026-07-07T06:31:20Z
dc.date.available2026-07-07T06:31:20Z
dc.descriptionWe give multidimensional generalizations of several transformation formulae for basic hypergeometric series of a specific type. Most of the upper parameters of the series differ multiplicatively from corresponding lower parameters by a nonnegative integer power of the base q. In one dimension, formulae for such series have been found, in the q -> 1 case, by B. M. Minton and P. W. Karlsson, and in the basic case by G. Gasper, by W. C. Chu, and more recently by the author. Our identities involve multilateral basic hypergeometric series associated to the root system A_r (or equivalently, the unitary group U(r+1)).
dc.identifierhttps://arxiv.org/abs/math/0102174
dc.identifierhttp://arxiv.org/abs/math/0102174
dc.identifierContemp. Math. 291 (2001), 203-227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98573
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject33D15; 33D67
dc.titleMultilateral transformations of q-series with quotients of parameters that are nonnegative integer powers of q
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