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

L. Cherepanov, S. Khoroshkin

We prove that Borodin-Gorin presentation for Heckman-Opdam ${\mathfrak{gl}}_n$ hypergeometric function by interlacing integrals is equivalent to two other integral presentations stud…