Elliptic hypergeometric functions and Calogero-Sutherland-type models |
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| Authors: | V. P. Spiridonov |
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| Affiliation: | (1) Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Oblast, Russia |
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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. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 311–324, February, 2007. |
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| Keywords: | completely integrable system Calogero-Sutherland model hypergeometric function elliptic function |
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