New transformations for elliptic hypergeometric series on the root system An

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dc.creatorRosengren, Hjalmar
dc.date2003-05-27
dc.date.accessioned2026-07-07T06:34:22Z
dc.date.available2026-07-07T06:34:22Z
dc.descriptionRecently, Kajihara gave a Bailey-type transformation relating basic hypergeometric series on the root system An, with different dimensions n. We give, with a new, elementary, proof, an elliptic analogue of this transformation. We also obtain further Bailey-type transformations as consequences of our result, some of which are new also in the case of basic and classical hypergeometric series.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0305379
dc.identifierhttp://arxiv.org/abs/math/0305379
dc.identifierRamanujan J. 12 (2006), 155-166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99505
dc.subjectClassical Analysis and ODEs
dc.subjectQuantum Algebra
dc.subject33D67; 11F50
dc.titleNew transformations for elliptic hypergeometric series on the root system An
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