Differential properties of matrix orthogonal polynomials

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dc.creatorCantero, M. J.
dc.creatorMoral, L.
dc.creatorVelazquez, L.
dc.date2002-05-09
dc.date.accessioned2026-07-07T04:48:23Z
dc.date.available2026-07-07T04:48:23Z
dc.descriptionIn this paper a general theory of semi-classical matrix orthogonal polynomials is developed. We define the semi-classical linear functionals by means of a distributional equation $D(u A) = u B,$ where $A$ and $B$ are matrix polynomials. Several characterizations for these semi-classical functionals are given in terms of the corresponding (left) matrix orthogonal polynomials sequence. They involve a quasi-orthogonality property for their derivatives, a structure relation and a second order differo-differential equation. Finally we illustrate the preceding results with some non-trivial examples.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0205094
dc.identifierhttp://arxiv.org/abs/math/0205094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64025
dc.subjectClassical Analysis and ODEs
dc.subject42C05
dc.titleDifferential properties of matrix orthogonal polynomials
dc.typetext

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