Continuous biorthogonality of the elliptic hypergeometric function

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dc.creatorSpiridonov, V. P.
dc.date2008-01-27
dc.date2009-03-20
dc.date.accessioned2026-07-07T12:53:59Z
dc.date.available2026-07-07T12:53:59Z
dc.descriptionWe construct a family of continuous biorthogonal functions related to an elliptic analogue of the Gauss hypergeometric function. The key tools used for that are the elliptic beta integral and the integral Bailey chain introduced earlier by the author. Relations to the Sklyanin algebra and elliptic analogues of the Faddeev modular double are discussed in detail.
dc.description23 pages; minor modifications
dc.identifierhttps://arxiv.org/abs/0801.4137
dc.identifierhttp://arxiv.org/abs/0801.4137
dc.identifierAlgebra i Analiz (St. Petersburg Math. J.) 20 (2008), no. 5, 155-185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223777
dc.subjectQuantum Algebra
dc.subjectClassical Analysis and ODEs
dc.subject33E99; 39A70
dc.titleContinuous biorthogonality of the elliptic hypergeometric function
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