PreprintCC BY 4.0arXiv
On Borodin-Gorin presentation of Heckman-Opdam gln hypergeometric function
Abstract
We prove that Borodin-Gorin presentation for Heckman-Opdam gln 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.
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BibTeX
@misc{cherepanov2026borodingorin,
title = {{On Borodin-Gorin presentation of Heckman-Opdam $\mathfrakgl_n$ hypergeometric function}},
author = {L. Cherepanov and S. Khoroshkin},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30304},
eprint = {2610.30304},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30304},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On Borodin-Gorin presentation of Heckman-Opdam gl_n hypergeometric function
AU - L. Cherepanov
AU - S. Khoroshkin
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.30304
UR - https://arxiv.org/abs/2610.30304
AB - We prove that Borodin-Gorin presentation for Heckman-Opdam 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.
ER -