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A high order q-difference equation for q-Hahn multiple orthogonal polynomials

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dc.affiliation.dptoUC3M. Departamento de MatemĂĄticases
dc.affiliation.grupoinvUC3M. Grupo de InvestigaciĂłn: AnĂĄlisis Aplicadoes
dc.contributor.authorArvesĂș Carballo, Jorge
dc.contributor.authorEsposito, Chiara
dc.date.accessioned2010-01-15T09:08:25Z
dc.date.available2010-01-15T09:08:25Z
dc.date.issued2009-10
dc.description15 pages, no figures.-- MSC2000 code: 33C45.-- ArXiv pre-print available at: http://arxiv.org/abs/0910.4041
dc.descriptionArticle in press
dc.description.abstractA high order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation is related to the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when $q\to1$ are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in [7] is corrected and obtained as a limiting case.
dc.description.sponsorshipThe research of the first author was partially supported by ‘Ramón y Cajal’ research program of Spain, the research grant MTM2006-13000-C03-02 of the Ministerio de Educación y Ciencia of Spain, and grants CCG07-UC3M/ESP-3339 and CCG08-UC3M/ESP-4516 from Comunidad Autónoma de Madrid.
dc.description.statusEn prensa
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Difference Equations and Applications, 2010 (In press)
dc.identifier.issn1023-6198 (Print)
dc.identifier.issn1563-5120 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/6438
dc.language.isoeng
dc.publisherTaylor & Francis
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemĂĄticas
dc.subject.otherMultiple orthogonal polynomials
dc.subject.otherHermite-Padé approximation
dc.subject.otherDifference equations
dc.subject.otherClassical orthogonal polynomials of a discrete variable
dc.titleA high order q-difference equation for q-Hahn multiple orthogonal polynomials
dc.typeresearch article*
dc.type.reviewNonPeerReviewed
dspace.entity.typePublication
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