| dc.contributor.author | Rebocho, M. N. | |
| dc.contributor.author | Filipuk, Galina | |
| dc.date.accessioned | 2020-02-04T11:23:29Z | |
| dc.date.available | 2020-02-04T11:23:29Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We study orthogonal polynomials related to Stieltjes functions satisfying Riccati type differential equations with polynomial coefficients, AS0 = BS2 + CS + D, with max {deg(A); deg(B)} <= 3; deg(C) <= 2. We derive recurrences for the three-term recurrence relation coefficients of the orthogonal polynomials, including connections with some forms of discrete Painlevé equations. | pt_PT |
| dc.description.sponsorship | Co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | G. Filipuk and M.N. Rebocho, Classification of Laguerre-Hahn orthogonal polynomials of class one, Mathematische Nachrichten. 2019; 1-19. | pt_PT |
| dc.identifier.doi | DOI: 10.1002/mana.201800063 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/8986 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.relation | Center for Mathematics, University of Coimbra | |
| dc.subject | Orthogonal polynomials | pt_PT |
| dc.subject | Stieltjes function | pt_PT |
| dc.subject | Laguerre-Freud equations | pt_PT |
| dc.subject | Painlev´e equations | pt_PT |
| dc.title | Classification of Laguerre-Hahn orthogonal polynomials of class one | pt_PT |
| dc.type | preprint | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center for Mathematics, University of Coimbra | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00324%2F2019/PT | |
| oaire.citation.title | Mathematical News / Mathematische Nachrichten | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Rebocho | |
| person.familyName | Filipuk | |
| person.givenName | Maria das Neves | |
| person.givenName | Galina | |
| person.identifier.ciencia-id | 3A16-8064-19AD | |
| person.identifier.orcid | 0000-0002-5004-6758 | |
| person.identifier.orcid | 0000-0003-2623-5361 | |
| person.identifier.scopus-author-id | 23994228800 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | preprint | pt_PT |
| relation.isAuthorOfPublication | 4db0eb68-7057-49f4-bbea-c5d85067cd3b | |
| relation.isAuthorOfPublication | 29cc83a7-886b-4040-b512-763a58528ac4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 29cc83a7-886b-4040-b512-763a58528ac4 | |
| relation.isProjectOfPublication | 86df2ce5-35e9-46bf-a224-5b65b1645d0b | |
| relation.isProjectOfPublication.latestForDiscovery | 86df2ce5-35e9-46bf-a224-5b65b1645d0b |
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