Generating orthogonal matrix polynomials satisfying second order differential equations from a trio of triangular matrices

DOI10.1016/J.JAT.2008.08.003zbMath1184.42021OpenAlexW2075583147MaRDI QIDQ1040857

Antonio J. Duran

Publication date: 26 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.jat.2008.08.003

zbMATH Keywords

orthogonal matrix polynomialssecond order differential equations

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Matrix equations and identities (15A24) Hypergeometric functions (33C99)

Related Items (5)

Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits ⋮ Matrix-valued Gegenbauer-type polynomials ⋮ Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions ⋮ Constructing orthogonal matrix polynomials satisfying differential equations from two different Laguerre weights ⋮ Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthogonal matrix polynomials, scalar-type Rodrigues formulas and Pearson equations
• Matrix valued orthogonal polynomials arising from the complex projective space
• Matrix inner product having a matrix symmetric second-order differential operator
• Matrix valued orthogonal polynomials of the Jacobi type
• Matrix valued spherical functions associated to the complex projective plane
• Matrix orthogonal polynomials whose derivatives are also orthogonal
• Matrix orthogonal polynomials satisfying second-order differential equations: coping without help from group representation theory
• Some examples of orthogonal matrix polynomials satisfying odd order differential equations
• Structural formulas for orthogonal matrix polynomials satisfying second-order differential equations. I
• Matrix valued orthogonal polynomials of Jacobi type: the role of group representation theory.
• Discrete and continuous boundary problems
• Structural formulas for orthogonal matrix polynomials satisfying second-order differential equations. II
• Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)

This page was built for publication: Generating orthogonal matrix polynomials satisfying second order differential equations from a trio of triangular matrices