Matrix Valued Laguerre Polynomials

DOI10.1007/978-3-030-10850-2_16zbMath1494.33007arXiv1811.06592OpenAlexW2990123836MaRDI QIDQ5110404

Pablo Román, H. T. Koelink

Publication date: 19 May 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06592

zbMATH Keywords

orthogonal polynomialsRodrigues formulashift operatormatrix polynomialAskey schemematrix differential equationlinear differential operatorPearson equationDarboux transformBurchnall identityHeckman-Opdam functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

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Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers ⋮ Non-Abelian Toda-type equations and matrix valued orthogonal polynomials

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