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dc.contributor.authorLastra Sedano, Alberto 
dc.contributor.authorHuertas Cejudo, Edmundo José 
dc.contributor.authorSoria Lorente, Anier
dc.contributor.authorHermoso Ortíz, Carlos 
dc.date.accessioned2021-01-11T09:14:02Z
dc.date.available2021-01-11T09:14:02Z
dc.date.issued2020-08-06
dc.identifier.bibliographicCitationHermoso, C., Huertas, E.J., Lastra, A. & Soria Lorente, A. 2020, “On second order q-difference equations satisfied by Al-Salam–Carlitz I-Sobolev type polynomials of higher order”, Mathematics, vol. 8, no. 8, 1300.
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10017/45707
dc.description.abstractThis contribution deals with the sequence fU(a)n (x; q, j)gn_0 of monic polynomials in x, orthogonal with respect to a Sobolev-type inner product related to the Al-Salam-Carlitz I ortogonal polynomials, and involving an arbitrary number j of q-derivatives on the two boundaries of the corresponding orthogonality interval, for some fixed real number q ϵ (0,1). We provide several versions of the corresponding connection formulas, ladder operators, and several versions of the second order q-difference equations satisfied by polynomials in this sequence. As a novel contribution to the literature, we provide certain three term recurrence formula with rational coefficients satisfied by U(a)n (x; q, j), which paves the way to establish an appealing generalization of the so-called J-fractions to the framework of Sobolev-type orthogonality.en
dc.description.sponsorshipUniversidad de Alcaláes_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherMDPI
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectAl-Salam-Carlitz I polynomialsen
dc.subjectAl-Salam-Carlitz I-Sobolev type polynomialsen
dc.subjectSecond order linear q-difference equationsen
dc.subjectStructure relationsen
dc.subjectRecurrence relationsen
dc.subjectBasic hypergeometric seriesen
dc.titleOn second order q-difference equations satisfied by Al-Salam-Carlitz I-Sobolev type polynomials of higher orderen
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.date.updated2021-01-11T09:06:35Z
dc.relation.publisherversionhttps://doi.org/10.3390/math8081300
dc.type.versioninfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.3390/math8081300
dc.relation.projectIDinfo:eu-repo/grantAgreement/UAH//CM-JIN-2019-010en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000035451
dc.identifier.publicationtitleMathematics
dc.identifier.publicationvolume8
dc.identifier.publicationissue8


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