Publication:
Characterization of the Dᵂ-Laguerre-Hahn functionals

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorFoupouagnigni, M.
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2009-12-11T09:33:57Z
dc.date.available2009-12-11T09:33:57Z
dc.date.issued2002
dc.description29 pages, no figures.-- MSC2000 codes: 33C45, 39A10.
dc.descriptionMR#: MR1914598 (2003e:33021)
dc.descriptionZbl#: Zbl 1021.33007
dc.description.abstractWe give some characterization theorems for the DᵂLaguerre-Hahn linear functionals and we extend the concept of the class of the usual Laguerre-Hahn functionals to the Dᵂ-Laguerre-Hahn functionals, recovering the classic results when ᵂ tends to zero. Moreover, we show that some transformations carried out on the Dᵂ-Laguerre-Hahn linear functionals lead to new Dᵂ-Laguerre-Hahn linear functionals. Finally, we analyze the class of the resulting functionals and we give some applications relative to the first associated Charlier, Meixner, Krawtchouk and Hahn orthogonal polynomials.
dc.description.sponsorshipThe work of the second author (FM) was supported by Ministerio de Ciencia y Tecnología (Dirección General de Investigación) of Spain under grant BFM 2000-0206-C04-01 and the INTAS project INTAS 2000-272.
dc.description.statusPublicado
dc.identifier.bibliographicCitationJournal of Difference Equations and Applications, 2002, vol. 8, n. 8, p. 689-717
dc.identifier.doi10.1080/1023619021000000726
dc.identifier.issn1023-6198
dc.identifier.urihttps://hdl.handle.net/10016/6005
dc.language.isoeng
dc.publisherTaylor & Francis
dc.relation.publisherversionhttp://dx.doi.org/10.1080/1023619021000000726
dc.rights© Taylor & Francis
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherRegular linear functionals
dc.subject.otherOrthogonal polynomials
dc.subject.otherStieltjes functions
dc.subject.otherRiccati difference equation
dc.subject.otherLaguerre-Hahn class
dc.subject.otherDᵂ-Laguerre-Hahn Class
dc.titleCharacterization of the Dᵂ-Laguerre-Hahn functionals
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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