Orthogonal matrix polynomials satisfying second order difference equations

DOI10.1016/J.JAT.2013.02.003zbMath1300.33011OpenAlexW1988616878MaRDI QIDQ387257

Renato Álvarez-Nodarse, Antonio J. Duran, Ana M. de los Ríos

Publication date: 20 December 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.02.003

zbMATH Keywords

difference operatorsMeixner polynomialsKrawtchouk polynomialsmatrix orthogonal polynomialsCharlier polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47) Linear difference operators (47B39)

Related Items (10)

Orthogonal matrix polynomials whose differences are also orthogonal ⋮ Relative asymptotics of matrix orthogonal polynomials for Uvarov perturbations: the degenerate case ⋮ Rodrigues’ formulas for orthogonal matrix polynomials satisfying second-order difference equations ⋮ Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers ⋮ Orthogonal vs. non-orthogonal reducibility of matrix-valued measures ⋮ The convex cone of weight matrices associated to a second-order matrix difference operator ⋮ Christoffel transformation for a matrix of bi-variate measures ⋮ On the point spectrum of periodic Jacobi matrices with matrix entries: elementary approach ⋮ Matrix biorthogonal polynomials on the real line: Geronimus transformations ⋮ Matrix-valued little \(q\)-Jacobi polynomials

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