dc.creator | Calderón, C. | es |
dc.creator | Castro Smirnova, Mirta María | es |
dc.date.accessioned | 2023-01-19T07:01:44Z | |
dc.date.available | 2023-01-19T07:01:44Z | |
dc.date.issued | 2022-03 | |
dc.identifier.citation | Calderón, 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.issn | 0126-6705 | es |
dc.identifier.issn | 2180-4206 | es |
dc.identifier.uri | https://hdl.handle.net/11441/141535 | |
dc.description.abstract | We 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.format | application/pdf | es |
dc.format.extent | 30 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Bulletin of the Malaysian Mathematical Sciences Society, 45, 697-726. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Matrix-valued orthogonal polynomials | es |
dc.subject | Matrix-valued differential operators | es |
dc.subject | Rodrigues formula | es |
dc.title | Structural Formulas for Matrix-Valued Orthogonal Polynomials Related to 2×2 Hypergeometric Operators | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.projectID | PGC2018-096504-B-C31 | es |
dc.relation.projectID | US-1254600 | es |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s40840-021-01211-x | es |
dc.identifier.doi | 10.1007/s40840-021-01211-x | es |
dc.contributor.group | Universidad de Sevilla. FQM-262: Teoría de la Aproximación | es |
dc.journaltitle | Bulletin of the Malaysian Mathematical Sciences Society | es |
dc.publication.issue | 45 | es |
dc.publication.initialPage | 697 | es |
dc.publication.endPage | 726 | es |
dc.contributor.funder | FEDER (EU) / Ministerio de Ciencia e Innovación-Agencia Estatal de Investigación PGC2018-096504-B-C31 | es |
dc.contributor.funder | Junta de Andalucía and FEDER (EU) US-1254600 | es |