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A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices

2018Preprint Open access
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dc.contributor.authorRebocho, M. N.
dc.contributor.authorFilipuk, Galina
dc.contributor.authorChen, Yang
dc.contributor.authorBranquinho, A.
dc.date.accessioned2020-02-04T15:00:01Z
dc.date.available2020-02-04T15:00:01Z
dc.date.issued2018
dc.description.abstractIt is proved a characterization theorem for semi-classical orthogonal polynomials on non- uniform lattices that states the equivalence between the Pearson equation for the weight and some systems involving the orthogonal polynomials as well as the functions of the second kind. As a consequence, it is deduced the analogue of the so-called compatibility conditions in the ladder operator scheme. The classical orthogonal polynomials on non- uniform lattices are then recovered under such compatibility conditions, through a closed formula for the recurrence relation coefficients.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationA. Branquinho, Y. Chen, G. Filipuk, and M.N. Rebocho, A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices, Applied Mathematics and Computation 334 (2018) 356-366pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/8996
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.subjectOrthogonal polynomialspt_PT
dc.subjectDivided-difference operatorpt_PT
dc.subjectNon-uniform latticespt_PT
dc.subjectAskey-Wilson operatorpt_PT
dc.subjectSemi-classical classpt_PT
dc.titleA characterization theorem for semi-classical orthogonal polynomials on non-uniform latticespt_PT
dc.typepreprint
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00324%2F2013/PT
oaire.fundingStream5876
person.familyNameRebocho
person.familyNameFilipuk
person.familyNameBranquinho
person.givenNameMaria das Neves
person.givenNameGalina
person.givenNameAmílcar
person.identifier.ciencia-id3A16-8064-19AD
person.identifier.ciencia-id4D14-4372-DACE
person.identifier.orcid0000-0002-5004-6758
person.identifier.orcid0000-0003-2623-5361
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.rightsopenAccesspt_PT
rcaap.typepreprintpt_PT
relation.isAuthorOfPublication4db0eb68-7057-49f4-bbea-c5d85067cd3b
relation.isAuthorOfPublication29cc83a7-886b-4040-b512-763a58528ac4
relation.isAuthorOfPublication8592f0f1-3460-4780-b67f-17e2e4e73df5
relation.isAuthorOfPublication.latestForDiscovery29cc83a7-886b-4040-b512-763a58528ac4
relation.isProjectOfPublicationc1089cc4-042e-4c1f-9340-cfad63386aee
relation.isProjectOfPublication.latestForDiscoveryc1089cc4-042e-4c1f-9340-cfad63386aee

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