Publication: Characterization of the Dᵂ-Laguerre-Hahn functionals
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Análisis Aplicado | es |
dc.contributor.author | Foupouagnigni, M. | |
dc.contributor.author | Marcellán Español, Francisco José | |
dc.date.accessioned | 2009-12-11T09:33:57Z | |
dc.date.available | 2009-12-11T09:33:57Z | |
dc.date.issued | 2002 | |
dc.description | 29 pages, no figures.-- MSC2000 codes: 33C45, 39A10. | |
dc.description | MR#: MR1914598 (2003e:33021) | |
dc.description | Zbl#: Zbl 1021.33007 | |
dc.description.abstract | We 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.sponsorship | The 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.status | Publicado | |
dc.identifier.bibliographicCitation | Journal of Difference Equations and Applications, 2002, vol. 8, n. 8, p. 689-717 | |
dc.identifier.doi | 10.1080/1023619021000000726 | |
dc.identifier.issn | 1023-6198 | |
dc.identifier.uri | https://hdl.handle.net/10016/6005 | |
dc.language.iso | eng | |
dc.publisher | Taylor & Francis | |
dc.relation.publisherversion | http://dx.doi.org/10.1080/1023619021000000726 | |
dc.rights | © Taylor & Francis | |
dc.rights.accessRights | open access | |
dc.subject.eciencia | Matemáticas | |
dc.subject.other | Regular linear functionals | |
dc.subject.other | Orthogonal polynomials | |
dc.subject.other | Stieltjes functions | |
dc.subject.other | Riccati difference equation | |
dc.subject.other | Laguerre-Hahn class | |
dc.subject.other | Dᵂ-Laguerre-Hahn Class | |
dc.title | Characterization of the Dᵂ-Laguerre-Hahn functionals | |
dc.type | research article | * |
dc.type.review | PeerReviewed | |
dspace.entity.type | Publication |
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