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Matrix valued orthogonal polynomials satisfying differential equations
(2007)
The theory of matrix valued orthogonal polynomials goes back to the fundamental works of M. G. Krein. If one is considering possible applications of these polynomials, it is natural to concentrate on those cases where some ...
Artículo
Matrix valued orthogonal polynomials arising from group representation theory and a family of quasi-birth-and-death processes
(Society for Industrial and Applied Mathematics, 2008)
We consider a family of matrix valued orthogonal polynomials obtained by Pacharoni and Tirao in connection with spherical functions for the pair (SU(N + 1), U(N)); see [I. Pacharoni and J. A. Tirao, Constr. Approx., 25 ...
Ponencia
Tesis Doctoral
Propiedades diferenciales de familias de polinomios ortogonales matriciales y aplicaciones
(2008-02-01)
Una de las vías más fructíferas de aplicación de la teoría de polinomios ortogonales se produce a través de las ecuaciones diferenciales de segundo orden satisfechas por las familias clásicas de Hermite, Laguerre y Jacobi. ...