The convex cone of weight matrices associated to a second-order matrix difference operator

DOI10.1080/10652469.2014.895343zbMath1297.42036OpenAlexW1992059749MaRDI QIDQ5168445

Antonio J. Duran, Ana M. de los Ríos

Publication date: 4 July 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.895343

zbMATH Keywords

difference operatorsconvex conematrix orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Difference operators (39A70) Linear difference operators (47B39)

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Cites Work

• Unnamed Item
• Orthogonal matrix polynomials satisfying second order difference equations
• The algebra of difference operators associated to a family of orthogonal polynomials
• Matrix valued orthogonal polynomials arising from the complex projective space
• A sequence of matrix valued orthogonal polynomials associated to spherical functions
• Matrix inner product having a matrix symmetric second-order differential operator
• Matrix valued Jacobi polynomials
• Matrix valued orthogonal polynomials of the Jacobi type
• On a difference equation for generalizations of Charlier polynomials
• A method to find weight matrices having symmetric second-order differential operators with matrix leading coefficient
• Matrix orthogonal polynomials whose derivatives are also orthogonal
• The algebra of differential operators associated to a weight matrix
• Orthogonal matrix polynomials whose differences are also orthogonal