Matrix-valued polynomials generated by the scalar-type Rodrigues' formulas

DOI10.1016/j.jat.2008.12.005zbMath1189.33023arXiv0806.3531OpenAlexW2063854845MaRDI QIDQ1048985

Rodica D. Costin

Publication date: 8 January 2010

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

Full work available at URL: https://arxiv.org/abs/0806.3531

zbMATH Keywords

orthogonal polynomialsmatrix-valued polynomialsRodrigues' formulas

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) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (4)

Riemann-Hilbert Problems, Matrix Orthogonal Polynomials and Discrete Matrix Equations with Singularity Confinement ⋮ Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part ⋮ Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems ⋮ Differential systems with Fuchsian linear part: correction and linearization, normal forms and multiple orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthogonal matrix polynomials, scalar-type Rodrigues formulas and Pearson equations
• A class of matrix-valued polynomials generalizing Jacobi polynomials
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Matrix valued Jacobi polynomials
• 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.
• Structural formulas for orthogonal matrix polynomials satisfying second-order differential equations. II
• The Analytic Theory of Matrix Orthogonal Polynomials
• Nonlinear perturbations of Fuchsian systems: corrections and linearization, normal forms
• The algebra of differential operators associated to a family of matrix-valued orthogonal polynomials: Five instructive examples
• On the ``Favard theorem and its extensions
• Orthogonality and completeness of \(q\)-Fourier type systems
• On the formation of singularities of solutions of nonlinear differential systems in anti-Stokes directions.

This page was built for publication: Matrix-valued polynomials generated by the scalar-type Rodrigues' formulas