-Selberg Integrals and Koornwinder Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Kaneko, Jyoichi
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211531
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: -Selberg Integrals and Koornwinder Polynomials. Jyoichi Kaneko. SIGMA 18 (2022), 014, 35 pages

We prove a generalization of the -Selberg integral evaluation formula. The integrand is that of a -Selberg integral multiplied by a factor of the same form with respect to part of the variables. The proof relies on the quadratic norm formula of Koornwinder polynomials. We also derive generalizations...