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dc.creatorCalderón, C.es
dc.creatorCastro Smirnova, Mirta Maríaes
dc.date.accessioned2023-01-19T07:01:44Z
dc.date.available2023-01-19T07:01:44Z
dc.date.issued2022-03
dc.identifier.citationCalderón, C. y Castro Smirnova, M.M. (2022). Structural Formulas for Matrix-Valued Orthogonal Polynomials Related to 2×2 Hypergeometric Operators. Bulletin of the Malaysian Mathematical Sciences Society, 45, 697-726. https://doi.org/10.1007/s40840-021-01211-x.
dc.identifier.issn0126-6705es
dc.identifier.issn2180-4206es
dc.identifier.urihttps://hdl.handle.net/11441/141535
dc.description.abstractWe give some structural formulas for the family of matrix-valued orthogonal polynomials of size 2×2 introduced by C. Calderón et al. in an earlier work, which are common eigenfunctions of a differential operator of hypergeometric type. Specifically, we give a Rodrigues formula that allows us to write this family of polynomials explicitly in terms of the classical Jacobi polynomials, and write, for the sequence of orthonormal polynomials, the three-term recurrence relation and the Christoffel–Darboux identity. We obtain a Pearson equation, which enables us to prove that the sequence of derivatives of the orthogonal polynomials is also orthogonal, and to compute a Rodrigues formula for these polynomials as well as a matrix-valued differential operator having these polynomials as eigenfunctions. We also describe the second-order differential operators of the algebra associated with the weight matrix.es
dc.formatapplication/pdfes
dc.format.extent30 p.es
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofBulletin of the Malaysian Mathematical Sciences Society, 45, 697-726.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectMatrix-valued orthogonal polynomialses
dc.subjectMatrix-valued differential operatorses
dc.subjectRodrigues formulaes
dc.titleStructural Formulas for Matrix-Valued Orthogonal Polynomials Related to 2×2 Hypergeometric Operatorses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)es
dc.relation.projectIDPGC2018-096504-B-C31es
dc.relation.projectIDUS-1254600es
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s40840-021-01211-xes
dc.identifier.doi10.1007/s40840-021-01211-xes
dc.contributor.groupUniversidad de Sevilla. FQM-262: Teoría de la Aproximaciónes
dc.journaltitleBulletin of the Malaysian Mathematical Sciences Societyes
dc.publication.issue45es
dc.publication.initialPage697es
dc.publication.endPage726es
dc.contributor.funderFEDER (EU) / Ministerio de Ciencia e Innovación-Agencia Estatal de Investigación PGC2018-096504-B-C31es
dc.contributor.funderJunta de Andalucía and FEDER (EU) US-1254600es

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