Publication
On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations
| dc.contributor.author | Rebocho, M. N. | |
| dc.date.accessioned | 2020-02-06T11:17:17Z | |
| dc.date.available | 2020-02-06T11:17:17Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper are derived recurrences for the reflection coefficients of Laguerre–Hahn affine orthogonal polynomials on the unit circle, including a form of the discrete Painlevé equations dPV . The technique is based on the knowledge of the first-order differential equation for the Carathéodory function, combined with a reinterpretation, in the formalism of matrix Sylvester equations, of compatibility conditions for the differential systems satisfied by the polynomials. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | M.N. Rebocho, On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations, Integral Transforms and Special Functions 27, no.2 (2016) 78-93. | pt_PT |
| dc.identifier.doi | 10.1080/10652469.2015.1092969 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/9059 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.subject | Hermitian linear functionals | pt_PT |
| dc.subject | OPUC | pt_PT |
| dc.subject | Laguerre–Hahn affine class | pt_PT |
| dc.subject | Sylvester equations | pt_PT |
| dc.subject | discrete Painlevé equations | pt_PT |
| dc.title | On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00324%2F2013/PT | |
| oaire.fundingStream | 5876 | |
| person.familyName | Rebocho | |
| person.givenName | Maria das Neves | |
| person.identifier.ciencia-id | 3A16-8064-19AD | |
| person.identifier.orcid | 0000-0002-5004-6758 | |
| 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.embargofct | Cedência de direitos de autor ao jornal onde o artigo foi publicado. | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 4db0eb68-7057-49f4-bbea-c5d85067cd3b | |
| relation.isAuthorOfPublication.latestForDiscovery | 4db0eb68-7057-49f4-bbea-c5d85067cd3b | |
| relation.isProjectOfPublication | c1089cc4-042e-4c1f-9340-cfad63386aee | |
| relation.isProjectOfPublication.latestForDiscovery | c1089cc4-042e-4c1f-9340-cfad63386aee |
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