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math-ph2026
Rational limit of Rains integrals of type
L. Cherepanov
We deduce the rational analogue of the elliptic Rains identity of type arXiv:0309252. We also derive reductions of the rational analogue and present the connection of them wi…
math-ph2026
On Borodin-Gorin presentation of Heckman-Opdam hypergeometric function
L. Cherepanov, S. Khoroshkin
We prove that Borodin-Gorin presentation for Heckman-Opdam hypergeometric function by interlacing integrals is equivalent to two other integral presentations stud…
math-ph2025
Calogero-Sutherland hyperbolic system and Heckman-Opdam hypergeometric function
N. Belousov, L. Cherepanov, S. Derkachov +1
We prove equivalence of two integral representations for the wave functions of hyperbolic Calogero-Sutherland system. For this we study two families of Baxter operators related to…