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Elliptic hypergeometric functions and Calogero-Sutherland-type models

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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 E7, the elliptic hypergeometric equation, and Calogero-Sutherland-type models.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Oblast, Russia

    V. P. Spiridonov

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  1. V. P. Spiridonov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 311–324, February, 2007.

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Spiridonov, V.P. Elliptic hypergeometric functions and Calogero-Sutherland-type models. Theor Math Phys 150, 266–277 (2007). https://doi.org/10.1007/s11232-007-0020-5

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  • DOI: https://doi.org/10.1007/s11232-007-0020-5

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