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Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line

dc.contributor.authorBranquinho, A.
dc.contributor.authorPaiva, Anabela
dc.contributor.authorRebocho, M. N.
dc.date.accessioned2020-02-04T15:54:11Z
dc.date.available2020-02-04T15:54:11Z
dc.date.issued2013
dc.description.abstractMatrix Sylvester differential equations are introduced in the study of Laguerre-Hahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the Laguerre-Hahn orthogonal polynomials. Lax pairs are given, formed from the differential system and the recurrence relation, that yield discrete non-linear equations for the three term recurrence relation coefficients of the Laguerre-Hahn orthogonal polynomials.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationA. Branquinho, A. Paiva, and M.N. Rebocho, Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line, Applied Mathematics and Computation 219 (17) (2013), 9118-9131.pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9004
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.subjectOrthogonal polynomials on the real linept_PT
dc.subjectStieltjes functionpt_PT
dc.subjectRiccati differential equationpt_PT
dc.subjectMatrix Sylvester differential equationspt_PT
dc.titleSylvester equations for Laguerre-Hahn orthogonal polynomials on the real linept_PT
dc.typepreprint
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/SFRH/SFRH%2FBPD%2F45321%2F2008/PT
oaire.fundingStreamSFRH
person.familyNameBranquinho
person.familyNamePaiva
person.familyNameRebocho
person.givenNameAmílcar
person.givenNameAnabela
person.givenNameMaria das Neves
person.identifier.ciencia-id4D14-4372-DACE
person.identifier.ciencia-id5516-2BFD-BCB9
person.identifier.ciencia-id3A16-8064-19AD
person.identifier.orcid0000-0003-4685-1583
person.identifier.orcid0000-0003-0862-892X
person.identifier.orcid0000-0002-5004-6758
person.identifier.ridM-3511-2013
person.identifier.ridE-6615-2019
person.identifier.scopus-author-id6602396069
person.identifier.scopus-author-id40561530100
person.identifier.scopus-author-id23994228800
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typepreprintpt_PT
relation.isAuthorOfPublication8592f0f1-3460-4780-b67f-17e2e4e73df5
relation.isAuthorOfPublication3f7b7317-fe30-48c2-99f1-5bcabe9bf2f3
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relation.isAuthorOfPublication.latestForDiscovery4db0eb68-7057-49f4-bbea-c5d85067cd3b
relation.isProjectOfPublicatione3f41228-d220-48ec-b348-051a94eca372
relation.isProjectOfPublication.latestForDiscoverye3f41228-d220-48ec-b348-051a94eca372

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