Matrix differential equations and scalar polynomials satisfying higher order recursions

DOI10.1016/J.JMAA.2008.12.019zbMath1163.42009arXiv0812.4770OpenAlexW2015014857MaRDI QIDQ1018154

F. Alberto Gruenbaum, Antonio J. Duran

Publication date: 13 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4770

zbMATH Keywords

orthogonal polynomialsdifferential equationsrecurrence relationsorthogonal matrix polynomialsbispectral problem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (7)

Three-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b] ⋮ Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem ⋮ Relations between the orthogonal matrix polynomials on \([a,b\), Dyukarev-Stieltjes parameters, and Schur complements] ⋮ Krall-Laguerre commutative algebras of ordinary differential operators ⋮ From the Potapov to the Krein-Nudel'man representation of the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ The matrix Toda equations for coefficients of a matrix three-term recurrence relation ⋮ Spectral theory of multiple intervals

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