Rodrigues type formula for orthogonal polynomials on the unit ball

DOI10.1090/S0002-9939-05-07885-8zbMath1145.33303OpenAlexW2034416141MaRDI QIDQ4663448

Yuan Xu

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07885-8

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items

Monomial and Rodrigues orthogonal polynomials on the cone

Cites Work

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• Rodrigues formulas for the Macdonald polynomials
• Orthogonal polynomials and summability in Fourier orthogonal series on spheres and on balls
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• Jacobi Polynomials, III. An Analytic Proof of the Addition Formula
• Integration of the intertwining operator for $h$-harmonic polynomials associated to reflection groups
• Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
• Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial
• Orthogonal polynomials on the ball and the simplex for weight functions with reflection symmetries