Elliptic hypergeometric functions and Calogero--Sutherland-type models
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 311-324
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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.
@article{TMF_2007_150_2_a9,
author = {V. P. Spiridonov},
title = {Elliptic hypergeometric functions and {Calogero--Sutherland-type} models},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {311--324},
publisher = {mathdoc},
volume = {150},
number = {2},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a9/}
}
V. P. Spiridonov. Elliptic hypergeometric functions and Calogero--Sutherland-type models. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 311-324. http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a9/