Work

On Borodin-Gorin presentation of Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric function

Year: 2026

Type: preprint

Abstract: We prove that Borodin-Gorin presentation for Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric function by interlacing integrals is equivalent to two other integral presentations studied in arXiv:2508.18864. We also consider related Baxter operators and the corresponding limiting procedure from the Ruijsenaars hyperbolic model.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.30304

Authors: Cherepanov, L., Khoroshkin, S.

Institution: National Research University Higher School of Economics

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223286286

Cites: 10

Cited by:

Related to: 10