Coherent pairs and Sobolev-type orthogonal polynomials on the real line: an extension to the matrix case

DOI10.1016/j.jmaa.2022.126674OpenAlexW4295537193MaRDI QIDQ2084872

E. Fuentes, Luis E. Garza

Publication date: 13 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126674

zbMATH Keywords

matrix orthogonal polynomialsmatrix coherent pairsmatrix Sobolev polynomials

Mathematics Subject Classification ID

Basic linear algebra (15Axx) Hypergeometric functions (33Cxx) Nontrigonometric harmonic analysis (42Cxx)

Cites Work

• On Sobolev orthogonal polynomials
• Orthogonal matrix polynomials, scalar-type Rodrigues formulas and Pearson equations
• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• On polynomials orthogonal with respect to certain Sobolev inner products
• On a class of matrix orthogonal polynomials on the real line
• Some applications of the Hermite matrix polynomials series expansions
• Coherent pairs and zeros of Sobolev-type orthogonal polynomials
• Laguerre matrix polynomials and systems of second-order differential equations
• Determination of all coherent pairs
• Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures
• Bounding Hermite matrix polynomials
• Orthogonal matrix polynomials and higher-order recurrence relations
• Orthogonal polynomials and coherent pairs: The classical case
• On a Christoffel transformation for matrix measures supported on the unit circle
• Matrix orthogonal polynomials whose derivatives are also orthogonal
• On the asymptotics of Laguerre matrix polynomials for large \(x\) and \(n\)
• Laguerre matrix polynomial series expansion: theory and computer applications
• Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples
• The Analytic Theory of Matrix Orthogonal Polynomials
• Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy
• A canonical Geronimus transformation for matrix orthogonal polynomials
• On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
• Polynomial Least Square Approximations
• On generalized Laguerre matrix polynomials
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