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(1,1)-Dw-omega-coherent pairs

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorMarcellán Español, Francisco Josées
dc.contributor.authorPinzón Cortés, Natalia Camilaes
dc.date.accessioned2016-07-04T08:13:39Z
dc.date.available2016-07-04T08:13:39Z
dc.date.issued2013-11-01
dc.description.abstractIn this work, we introduce the notion of (1; 1)-Dw-coherent pair of weakly quasi-de nite linear functionals (U; V) as the Dw-analogue to the generalized coherent pair studied by A. Delgado and F. Marcell an in [8]. This means that their corresponding families of monic orthogonal poly- nomials fPn(x)gM0 n=0 and fRn(x)gM1 n=0 satisfy We prove that (1; 1)-Dw-coherence is a su cient condition for the weakly quasi-de nite linear functionals to be Dw-semiclassical, one of them of class at most 1 and the another of class at most 5, and they are related by a expression of rational type. Additionally, a matrix interpretation of (1; 1)-Dw-coherence in terms of the corresponding monic Jacobi matrices is given. The particular case when μ is Dw-classical linear functional is studied.en
dc.description.sponsorshipThe authors thank the hard work done by the referees. Their suggestions and remarks have contributed to improve the presentation of the manuscript. The work of F. Marcell´an and N. C. Pinzo´n-Cort´es has been supported by Direcci´on General de Investigaci´on Cient´ıfica y T´ecnica, Ministerio de Econom´ıa y Competitividad of Spain, grant MTM2012-36732-C03-01.en
dc.format.extent23
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Difference Equations and Applications, 19, pp. 1828-1848en
dc.identifier.doi10.1080/10236198.2013.778842
dc.identifier.issn1023-6198
dc.identifier.publicationfirstpage1828
dc.identifier.publicationissue11
dc.identifier.publicationlastpage1848
dc.identifier.publicationtitleJournal of difference equations and applicationsen
dc.identifier.publicationvolume19
dc.identifier.urihttp://hdl.handle.net/10016/23276
dc.identifier.uxxiAR/0000014358
dc.language.isoengen
dc.publisherTaylor & Francisen
dc.relation.projectIDGobierno de España. MTM2012-36732-C03-01
dc.relation.publisherversionhttp://dx.doi.org/10.1080/10236198.2013.778842
dc.rights© Taylor & Francis, 2013
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherSemiclassical orthogonal polynomialsen
dc.subject.otherDelta-coherent pairsen
dc.subject.otherLinear functionalsen
dc.subject.otherdiscrete orthogonal polynomialsen
dc.subject.otherDw-coherent pairs.en
dc.title(1,1)-Dw-omega-coherent pairsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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