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Second structure relation for semiclassical orthogonal polynomials

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.authorSfaxi, Ridha
dc.date.accessioned2009-12-03T11:31:43Z
dc.date.available2009-12-03T11:31:43Z
dc.date.issued2007-03-15
dc.description18 pages, no figures.-- MSC2000 codes: 42C05; 33C45.
dc.descriptionMR#: MR2289233 (2009a:33013)
dc.descriptionZbl#: Zbl 1125.33008
dc.description.abstractClassical orthogonal polynomials are characterized from their orthogonality and by a first or second structure relation. For the semiclassical orthogonal polynomials (a generalization of the classical ones), we find only the first structure relation in the literature. In this paper, we establish a second structure relation. In particular, we deduce it by means of a general finite-type relation between a semiclassical polynomial sequence and the sequence of its monic derivatives.
dc.description.sponsorshipThe work of the first author (F. M.) was supported by Dirección General de Investigación (Ministerio de Educación y Ciencia) of Spain under Grant BFM 2003-06335-C03-02 and INTAS Research Network NeCCA INTAS 03-51-6637. The second author (R. S.) was supported by Entreprise Kilani Gabès and Faculté des Sciences de Gabès, Tunisie.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Computational and Applied Mathematics, 2007, vol. 200, n. 2, p. 537-554
dc.identifier.doi10.1016/j.cam.2006.01.007
dc.identifier.issn0377-0427
dc.identifier.urihttp://hdl.handle.net/10016/5932
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.cam.2006.01.007
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherFinite-type relation
dc.subject.otherRecurrence relations
dc.subject.otherOrthogonal polynomials
dc.subject.otherSemiclassical linear functionals
dc.titleSecond structure relation for semiclassical orthogonal polynomials
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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