An asymptotic formula for the Koornwinder polynomials

DOI10.1016/j.cam.2004.04.018zbMath1065.33012OpenAlexW4205378485MaRDI QIDQ1772361

Jan Felipe van Diejen

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.04.018

zbMATH Keywords

asymptoticsMultivariate orthogonal polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Cites Work

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• \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
• Asymptotic and generating relations for the q-Jacobi and //\(4Phi_ 3\) polynomials
• Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement
• Macdonald polynomials and algebraic integrability
• Nonsymmetric Koornwinder polynomials and duality
• A duality of MacDonald-Koornwinder polynomials and its application to integral representations
• Factorized weight functions vs. factorized scattering
• Multivariable \(q\)-Racah polynomials
• An algebraic approach to Macdonald–Koornwinder polynomials: Rodrigues-type formula and inner product identity
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Asymptotics of the Askey–Wilson and q-Jacobi Polynomials
• Properties of some families of hypergeometric orthogonal polynomials in several variables
• Multivariable Big and Little q-Jacobi Polynomials
• Self-dual Koornwinder-Macdonald polynomials

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