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Algebra i Analiz, 2008, Volume 20, Issue 5, Pages 155–185 (Mi aa534)  
This article is cited in 18 scientific papers (total in 18 papers)

Research Papers

Continuous biorthogonality of the elliptic hypergeometric function

V. P. Spiridonov

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna
Full-text PDF (388 kB) Citations (18)
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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.
Keywords: Completely integrable systems, special functions, Sklyanin algebra, Faddeev modular double.
Received: 17.01.2007
English version:
St. Petersburg Mathematical Journal, 2009, Volume 20, Issue 5, Pages 791–812
DOI: https://doi.org/10.1090/S1061-0022-09-01073-5
Bibliographic databases:
Document Type: Article
MSC: 33C75, 81R12
Language: Russian
Citation: V. P. Spiridonov, “Continuous biorthogonality of the elliptic hypergeometric function”, Algebra i Analiz, 20:5 (2008), 155–185; St. Petersburg Math. J., 20:5 (2009), 791–812
Citation in format AMSBIB
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\transl
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:634
    Full-text PDF :140
    References:71
    First page:6
     
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