Source identities and kernel functions for the deformed Koornwinder-van Diejen models
Mathematical Physics
2020-09-02 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider generalizations of the -type relativistic Calogero-Moser-Sutherland models, comprising of the rational, trigonometric, hyperbolic, and elliptic cases, due to Koornwinder and van Diejen, and construct an explicit eigenfunction for these generalizations. In special cases, we find the various kernel function identities, and also a Chalykh-Feigin-Sergeev-Veselov type deformation of these operators and their corresponding kernel functions, which generalize the known kernel functions for the Koornwinder-van Diejen models.
Cite
@article{arxiv.1906.07807,
title = {Source identities and kernel functions for the deformed Koornwinder-van Diejen models},
author = {F. Atai},
journal= {arXiv preprint arXiv:1906.07807},
year = {2020}
}
Comments
19 pages