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Pearson equations for discrete orthogonal polynomials: III—Christoffel and Geronimus transformations

dc.contributor.authorMañas Baena, Manuel Enrique
dc.date.accessioned2023-06-22T10:56:01Z
dc.date.available2023-06-22T10:56:01Z
dc.date.issued2022-08-17
dc.descriptionCRUE-CSIC (Acuerdos Transformativos 2022) © The Author(s) 2022 Thanks financial support from the Spanish "Agencia Estatal de Investigacion" research project [PGC2018-096504-B-C33], Ortogonalidad y Aproximacion: Teoria y Aplicaciones en Fisica Matematica and research project [PID2021-122154NB-I00], Ortogonalidad y aproximacion con aplicaciones en machine learning y teoria de la probabilidad.
dc.description.abstractContiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus– Uvarov formulas quasi-determinantal expressions for the shifted semiclassical discrete orthogonal polynomials are obtained.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)/AEI
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/74183
dc.identifier.doi10.1007/s13398-022-01296-4
dc.identifier.issn1578-7303
dc.identifier.officialurlhttps://doi.org/10.1007/s13398-022-01296-4
dc.identifier.relatedurlhttps://link.springer.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/71906
dc.issue.number4
dc.journal.titleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
dc.language.isoeng
dc.publisherSpringer Nature
dc.relation.projectID(PGC2018-096504-B-C33; PID2021-122154NB-I00)
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu51-73
dc.subject.keywordDiscrete orthogonal polynomials
dc.subject.keywordPearson equations
dc.subject.keywordCholesky factorization
dc.subject.keywordGeneralized hypergeometric functions
dc.subject.keywordContigous relations
dc.subject.keywordChristoffel transformations
dc.subject.keywordGeronimus transformations
dc.subject.keywordGeronimus–Uvarov transformations
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titlePearson equations for discrete orthogonal polynomials: III—Christoffel and Geronimus transformations
dc.typejournal article
dc.volume.number116
dspace.entity.typePublication
relation.isAuthorOfPublication0d5b5872-7553-4b33-b0e5-085ced5d8f42
relation.isAuthorOfPublication.latestForDiscovery0d5b5872-7553-4b33-b0e5-085ced5d8f42

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