Determinantal formulas for Sklyanin-Whittaker integrals
Taro Kimura
TL;DR
This paper introduces determinantal formulas for Sklyanin-Whittaker integrals, explores their q-deformation, and discusses related point processes and Mellin-Barnes integrals.
Contribution
It provides the first explicit determinantal formulas for Sklyanin-Whittaker integrals and extends the analysis to q-deformations and related integral representations.
Findings
Derived determinantal formulas for Sklyanin-Whittaker integrals
Established a q-deformation framework for these integrals
Connected the integrals to determinantal point processes and Mellin--Barnes integrals
Abstract
We study multi-variable integrals, that we name Sklyanin-Whittaker integrals, and prove their determinantal formulas. We also discuss a -deformation, a determinantal point process, and associated Mellin--Barnes integrals.
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