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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 2, Pages 311–324
DOI: https://doi.org/10.4213/tmf5981 (Mi tmf5981) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Elliptic hypergeometric functions and Calogero–Sutherland-type models

V. P. Spiridonov

Joint Institute for Nuclear Research
Full-text PDF (436 kB) Citations (24)
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DOI: https://doi.org/10.4213/tmf5981
Abstract: We consider an elliptic analogue of the Gauss hypergeometric function and two of its multivariate generalizations. We describe their relation to elliptic beta integrals, the exceptional Weyl group $E_7$, the elliptic hypergeometric equation, and Calogero–Sutherland-type models.
Keywords: completely integrable system, Calogero–Sutherland model, hypergeometric function, elliptic function.
Received: 01.05.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 2, Pages 266–277
DOI: https://doi.org/10.1007/s11232-007-0020-5
Bibliographic databases:
Language: Russian
Citation: V. P. Spiridonov, “Elliptic hypergeometric functions and Calogero–Sutherland-type models”, TMF, 150:2 (2007), 311–324; Theoret. and Math. Phys., 150:2 (2007), 266–277
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v150/i2/p311
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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