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The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions

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dc.contributor.authorRebocho, M. N.
dc.contributor.authorFilipuk, Galina
dc.date.accessioned2020-02-04T12:12:56Z
dc.date.available2020-02-04T12:12:56Z
dc.date.issued2019
dc.description.abstractWe study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogonal polynomials of class two. We show difference equations for the recurrence coefficients of the orthogonal polynomials as well as for related quantities. Some of these recurrences are identified with discrete Painlevé equations.pt_PT
dc.description.sponsorshipCo-funded by the European Regional Development Fund through the Partnership Agreement PT2020.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationG. Filipuk and M.N. Rebocho, The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions, Bulletin of the Malaysian Mathematical Sciences Society. 2019pt_PT
dc.identifier.doiDOI: 10.1007/s40840-019-00801-0pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/8988
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.relationCenter for Mathematics, University of Coimbra
dc.subjectOrthogonal polynomialspt_PT
dc.subjectSemi-classical classpt_PT
dc.subjectFreud weightspt_PT
dc.subjectLaguerre-Freud equationspt_PT
dc.subjectPainlev´e equationspt_PT
dc.subjectStieltjes functionpt_PT
dc.titleThe Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensionspt_PT
dc.typepreprint
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, University of Coimbra
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00324%2F2019/PT
oaire.citation.titleBulletin of the Malaysian Mathematical Sciences Societypt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameRebocho
person.familyNameFilipuk
person.givenNameMaria das Neves
person.givenNameGalina
person.identifier.ciencia-id3A16-8064-19AD
person.identifier.orcid0000-0002-5004-6758
person.identifier.orcid0000-0003-2623-5361
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.isAuthorOfPublication4db0eb68-7057-49f4-bbea-c5d85067cd3b
relation.isAuthorOfPublication29cc83a7-886b-4040-b512-763a58528ac4
relation.isAuthorOfPublication.latestForDiscovery4db0eb68-7057-49f4-bbea-c5d85067cd3b
relation.isProjectOfPublication86df2ce5-35e9-46bf-a224-5b65b1645d0b
relation.isProjectOfPublication.latestForDiscovery86df2ce5-35e9-46bf-a224-5b65b1645d0b

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