Matrix polynomials satisfying first order differential equations and three term recurrence relations
type: Item
instance of: scholarly article
title: Matrix polynomials satisfying first order differential equations and three term recurrence relations
zbMATH Open document ID: 1179.15014
published in: Journal of Computational and Applied Mathematics
publication date: 2009-12-18T00:00:00Z
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 47B36
zbMATH DE Number: 5650067
zbMATH Keywords: noncommutative bispectral problem
zbMATH Keywords: Bochner problem
zbMATH Keywords: matrix valued polynomials
zbMATH Keywords: matrix orthogonality
zbMATH Keywords: difference equations
zbMATH Keywords: first order differential equation
zbMATH Keywords: three term recurrence relation
zbMATH Keywords: commutator
author: Mirta M. Castro
MaRDI profile type: Publication
full work available at URL: j.cam.2009.02.064
OpenAlex ID: W2014786518
cites work: Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)
cites work: Q5793542
cites work: Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples
cites work: Differential equations in the spectral parameter
cites work: Q4718270
cites work: The noncommutative bispectral problem for operators of order one
cites work: A noncommutative version of the bispectral problem.
cites work: The algebra of differential operators associated to a weight matrix
cites work: Matrix inner product having a matrix symmetric second-order differential operator
cites work: A survey on orthogonal matrix polynomials satisfying second order differential equations
cites work: Some examples of orthogonal matrix polynomials satisfying odd order differential equations
cites work: Matrix-valued orthogonal polynomials on the real line: some extensions of the classical theory
cites work: Q4040931
cites work: The algebra of differential operators associated to a family of matrix-valued orthogonal polynomials: Five instructive examples
DOI: 10.1016/J.CAM.2009.02.064
description: scientific article; zbMATH DE number 5650067