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Classification of all Δ-coherent pairs

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorArea, Iván
dc.contributor.authorGodoy, Eduardo
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2009-12-18T14:10:31Z
dc.date.available2009-12-18T14:10:31Z
dc.date.issued2000-04
dc.description18 pages, no figures.-- MSC1991 codes: 42C05, 33C25.
dc.descriptionMR#: MR1785535 (2001d:42016)
dc.descriptionZbl#: Zbl 0972.42017
dc.description.abstractIn a recent work we have proved that if $(u_0,u_1)$ is a δ-coherent pair of linear functionals, then at least one of them must be a classical discrete linear functional under certain conditions. In this paper we present a similar result for $D_\omega$-coherent pairs and the description of all δ-coherent pairs. Furthermore, by using a limit process we recover the classification of all coherent pairs of positive definite linear functionals.
dc.description.sponsorshipThe work of L.A. and E.G. has been partially supported by Xunta de Galicia-Universidade de Vigo under grant 645021703. E.G. also wishes to acknowledge partial financial support by Dirección General de Enseñanza Superior (DGES) of Spain under Grant PB-96-0952. The research of F.M. was partially supported by DGES of Spain under Grant PB96-0120-C03-01 and INTAS Project 93-0219 Ext.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationIntegral Transforms and Special Functions, 2000, vol. 9, n. 1, p. 1-18
dc.identifier.doi10.1080/10652460008819238
dc.identifier.issn1065-2469 (Print)
dc.identifier.issn1476-8291 (Online)
dc.identifier.urihttp://hdl.handle.net/10016/6176
dc.language.isoeng
dc.publisherTaylor & Francis
dc.relation.publisherversionhttp://dx.doi.org/10.1080/10652460008819238
dc.rights© Taylor & Francis
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherOrthogonal polynomials of a discrete variable
dc.subject.otherLinear functionals
dc.subject.otherCoherent pairs
dc.titleClassification of all Δ-coherent pairs
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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