Transformation formulae for multivariable basic hypergeometric series

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dc.creatorBaker, T. H.
dc.creatorForrester, P. J.
dc.date1998-03-30
dc.date.accessioned2026-07-07T05:24:15Z
dc.date.available2026-07-07T05:24:15Z
dc.descriptionWe study multivariable (bilateral) basic hypergeometric series associated with (type $A$) Macdonald polynomials. We derive several transformation and summation properties for such series including analogues of Heine's ${}_2ϕ_1$ transformation, the $q$-Pfaff-Kummer and Euler transformations, the $q$-Saalschütz summation formula and Sear's transformation for terminating, balanced ${}_4ϕ_3$ series. For bilateral series, we rederive Kaneko's analogue of the ${}_1ψ_1$ summation formula and give multivariable extensions of Bailey's ${}_2ψ_2$ transformations.
dc.descriptionLatex2e, 17 pages
dc.identifierhttps://arxiv.org/abs/math/9803146
dc.identifierhttp://arxiv.org/abs/math/9803146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76763
dc.subjectQuantum Algebra
dc.subjectClassical Analysis and ODEs
dc.titleTransformation formulae for multivariable basic hypergeometric series
dc.typetext

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