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Characterization theorem for Laguerre- Hahn orthogonal polynomials on non-uniform lattices

dc.contributor.authorRebocho, M. N.
dc.contributor.authorBranquinho, A.
dc.date.accessioned2020-02-06T11:15:41Z
dc.date.available2020-02-06T11:15:41Z
dc.date.issued2015
dc.description.abstractA characterization theorem for Laguerre–Hahn orthogonal polynomials on non-uniform lattices is stated and proved.This theorem proves the equivalence between the Riccati equation for the formal Stieltjes function, linear first-order difference relations for the orthogonal polynomials as well as for the associated polynomials of the first kind, and linear first-order difference relations for the functions of the second kind.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationA. Branquinho and M.N. Rebocho, Characterization theorem for Laguerre- Hahn orthogonal polynomials on non-uniform lattices, Journal of Mathematical Analysis and Applications 427, no. 1 (2015), 185-201.pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9058
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.subjectLaguerre-Hahn orthogonal polynomialspt_PT
dc.subjectDivided difference operatorpt_PT
dc.subjectNon-uniform latticespt_PT
dc.subjectRiccati difference equationpt_PT
dc.subjectStructure relationspt_PT
dc.titleCharacterization theorem for Laguerre- Hahn orthogonal polynomials on non-uniform latticespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/COMPETE/PEst-C%2FMAT%2FUI0324%2F2013/PT
oaire.fundingStreamCOMPETE
person.familyNameRebocho
person.familyNameBranquinho
person.givenNameMaria das Neves
person.givenNameAmílcar
person.identifier.ciencia-id3A16-8064-19AD
person.identifier.ciencia-id4D14-4372-DACE
person.identifier.orcid0000-0002-5004-6758
person.identifier.orcid0000-0003-4685-1583
person.identifier.ridM-3511-2013
person.identifier.scopus-author-id23994228800
person.identifier.scopus-author-id6602396069
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.embargofctCedência de direitos de autor ao jornal onde o artigo foi publicado.pt_PT
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication4db0eb68-7057-49f4-bbea-c5d85067cd3b
relation.isAuthorOfPublication8592f0f1-3460-4780-b67f-17e2e4e73df5
relation.isAuthorOfPublication.latestForDiscovery4db0eb68-7057-49f4-bbea-c5d85067cd3b
relation.isProjectOfPublication2a0254d6-671e-4b5b-99af-fca885f4c239
relation.isProjectOfPublication.latestForDiscovery2a0254d6-671e-4b5b-99af-fca885f4c239

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