Continuous biorthogonality of an elliptic hypergeometric function
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V. P. Spiridonov
Translated by: the author - St. Petersburg Math. J. 20 (2009), 791-812
- DOI: https://doi.org/10.1090/S1061-0022-09-01073-5
- Published electronically: July 21, 2009
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Abstract:
A family of continuous biorthogonal functions related to an elliptic analog of the Gauss hypergeometric function is constructed. The key tools used for that are the elliptic beta integral and the integral Bailey chain introduced earlier by the author. The relationship with the Sklyanin algebra and elliptic analogs of the Faddeev modular double are discussed in detail.References
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Bibliographic Information
- V. P. Spiridonov
- Affiliation: Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, 141980 Moscow Region, Russia
- Email: spiridon@theor.jinr.ru
- Received by editor(s): December 17, 2007
- Published electronically: July 21, 2009
- © Copyright 2009 American Mathematical Society
- Journal: St. Petersburg Math. J. 20 (2009), 791-812
- MSC (2000): Primary 33C75, 81R12
- DOI: https://doi.org/10.1090/S1061-0022-09-01073-5
- MathSciNet review: 2492363