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1 April 2001 A duality of MacDonald-Koornwinder polynomials and its application to integral representations
Katsuhisa Mimachi
Duke Math. J. 107(2): 265-281 (1 April 2001). DOI: 10.1215/S0012-7094-01-10723-0

Abstract

We give a formula representing a duality of Macdonald-Koornwinder polynomials. Using this formula, an integral representation of Macdonald-Koornwinder polynomials is derived, a special case of which is the conjectural formula stated in [22]. We also present the corresponding formula to Heckman and Opdam's Jacobi polynomials of type $BC_m$.

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Katsuhisa Mimachi. "A duality of MacDonald-Koornwinder polynomials and its application to integral representations." Duke Math. J. 107 (2) 265 - 281, 1 April 2001. https://doi.org/10.1215/S0012-7094-01-10723-0

Information

Published: 1 April 2001
First available in Project Euclid: 5 August 2004

zbMATH: 1012.33018
MathSciNet: MR1823049
Digital Object Identifier: 10.1215/S0012-7094-01-10723-0

Subjects:
Primary: 33D52
Secondary: 33C70

Rights: Copyright © 2001 Duke University Press

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Vol.107 • No. 2 • 1 April 2001
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