-Selberg Integrals and Koornwinder Polynomials

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...

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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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine