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Determinantal construction of orthogonal polynomials associated with root systems

Published online by Cambridge University Press:  04 December 2007

J. F. van Diejen ,
L. Lapointe  and
J. Morse
J. F. van Diejen
Affiliation:
Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chilediejen@inst-mat.utalca.cl, lapointe@inst-mat.utalca.cl
L. Lapointe
Affiliation:
Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chilediejen@inst-mat.utalca.cl, lapointe@inst-mat.utalca.cl
J. Morse
Affiliation:
Department of Mathematics, University of Miami, Coral Gables, FL 33124, USAmorsej@math.miami.edu
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Abstract

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We present an explicit construction of the Macdonald polynomials and of the Heckman–Opdam generalized Jacobi polynomials associated with root systems.

Keywords

Macdonald polynomialsHeckman–Opdampolynomialsdeterminantal formulasroot systems05E35 (primary)33C52 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 2 , March 2004 , pp. 255 - 273
Copyright
Foundation Compositio Mathematica 2004