Structural formulas for orthogonal matrix polynomials satisfying second-order differential equations. II
From MaRDI portal
Publication:2641892
DOI10.1007/S00365-006-0637-4zbMath1122.42013OpenAlexW4255145124MaRDI QIDQ2641892
Antonio J. Duran, Pedro Lopez-Rodriguez
Publication date: 17 August 2007
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00365-006-0637-4
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear ordinary differential equations and systems (34A30) Other special orthogonal polynomials and functions (33C47)
Related Items (14)
Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits ⋮ Three-term recurrence relation coefficients and continued fractions related to orthogonal matrix polynomials on the finite interval [a, b] ⋮ The Toda and Painlevé systems associated with semiclassical matrix-valued orthogonal polynomials of Laguerre type ⋮ Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem ⋮ A miraculously commuting family of orthogonal matrix polynomials satisfying second order differential equations ⋮ From the Potapov to the Krein-Nudel'man representation of the resolvent matrix of the truncated Hausdorff matrix moment problem ⋮ Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations ⋮ Some examples of orthogonal matrix polynomials satisfying odd order differential equations ⋮ A method to find weight matrices having symmetric second-order differential operators with matrix leading coefficient ⋮ Constructing orthogonal matrix polynomials satisfying differential equations from two different Laguerre weights ⋮ Generating orthogonal matrix polynomials satisfying second order differential equations from a trio of triangular matrices ⋮ Matrix-valued polynomials generated by the scalar-type Rodrigues' formulas ⋮ Solutions at infinity of the generalized matrix-valued hypergeometric equation ⋮ Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators
This page was built for publication: Structural formulas for orthogonal matrix polynomials satisfying second-order differential equations. II