Continuous biorthogonality of the elliptic hypergeometric function

Details Continuous biorthogonality of the elliptic hypergeometric function Continuous biorthogonality of the elliptic hypergeometric function

2008-01-27

arxiv.org/abs/0801.4137v2

Algebra i Analiz (St. Petersburg Math. J.) 20 (2008), no. 5, 155-185

Mathematics

Quantum Algebra

23 pages; minor modifications

Scientific paper

We 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.

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