dc.creator | Marcellán Español, Francisco | es |
dc.creator | Zurrián, Ignacio Nahuel | es |
dc.date.accessioned | 2024-06-17T10:20:14Z | |
dc.date.available | 2024-06-17T10:20:14Z | |
dc.date.issued | 2024-09 | |
dc.identifier.citation | Marcellán Español, F. y Zurrián, I.N. (2024). Bispectrality for matrix Laguerre-Sobolev polynomials. Linear Algebra and its Applications, 697, 131-145. https://doi.org/10.1016/j.laa.2023.09.017. | |
dc.identifier.issn | 0024-3795 | es |
dc.identifier.issn | 1873-1856 | es |
dc.identifier.uri | https://hdl.handle.net/11441/160562 | |
dc.description.abstract | In this contribution we deal with sequences of polynomials orthogonal with respect to a Sobolev type inner product. A banded symmetric operator is associated with such a sequence of polynomials according to the higher order difference equation they satisfy. Taking into account the Darboux transformation of the corresponding matrix we deduce the connection with a sequence of orthogonal polynomials associated with a Christoffel perturbation of the measure involved in the standard part of the Sobolev inner product. A connection with matrix orthogonal polynomials is stated. The Laguerre-Sobolev type case is studied as an illustrative example. Finally, the bispectrality of such matrix orthogonal polynomials is pointed out. | es |
dc.format | application/pdf | es |
dc.format.extent | 12 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Linear Algebra and its Applications, 697, 131-145. | |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Standard orthogonal polynomials | es |
dc.subject | Sobolev type orthogonal polynomials | es |
dc.subject | Darboux transformations | es |
dc.subject | Matrix orthogonal polynomials | es |
dc.subject | Bispectrality | es |
dc.title | Bispectrality for matrix Laguerre-Sobolev polynomials | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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 | PID2021-122154NBI00 | es |
dc.relation.projectID | EPUC3M23 | es |
dc.relation.projectID | VI PPIT-US | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0024379523003555 | es |
dc.identifier.doi | 10.1016/j.laa.2023.09.017 | es |
dc.journaltitle | Linear Algebra and its Applications | es |
dc.publication.volumen | 697 | es |
dc.publication.initialPage | 131 | es |
dc.publication.endPage | 145 | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | es |
dc.contributor.funder | Agencia Estatal de Investigación. España | es |
dc.contributor.funder | Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET). Argentina | es |