The Lauricella Function and Veselov Systems

We consider the Veselov system corresponding to a Veselov–Chalykh deformation of the root system such that some component of some solution to the Veselov system is a Lauricella function. We express the parameters of the Veselov system in terms of the parameters of the Lauricella function.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-06, Vol.255 (6), p.708-714
Main Author: Leksin, V. P.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:We consider the Veselov system corresponding to a Veselov–Chalykh deformation of the root system such that some component of some solution to the Veselov system is a Lauricella function. We express the parameters of the Veselov system in terms of the parameters of the Lauricella function.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05407-1