Publication
Differential equations for families of semi- classical orthogonal polynomials within class one
| dc.contributor.author | Rebocho, M. N. | |
| dc.contributor.author | Filipuk, Galina | |
| dc.date.accessioned | 2020-02-04T15:19:59Z | |
| dc.date.available | 2020-02-04T15:19:59Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this paper we study families of semi-classical orthogonal polynomials within class one. We derive general second or third order ordinary differential equations (with respect to certain parameters) for the recurrence coefficients of the three-term recurrence relation of these polynomials and show that in particular well-known cases, e.g. related to the modified Airy and Laguerre weights, these equations can be reduced to the second and the fourth Painlevé equations. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | G. Filipuk and M.N. Rebocho, Differential equations for families of semi- classical orthogonal polynomials within class one, Applied Numerical Mathematics 124 (2018) 76-88. | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/8998 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.subject | Painlev e equations | pt_PT |
| dc.subject | Semi-classical orthogonal polynomials | pt_PT |
| dc.subject | Stieltjes function | pt_PT |
| dc.title | Differential equations for families of semi- classical orthogonal polynomials within class one | pt_PT |
| dc.type | preprint | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00324%2F2013/PT | |
| oaire.fundingStream | 5876 | |
| 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 | c1089cc4-042e-4c1f-9340-cfad63386aee | |
| relation.isProjectOfPublication.latestForDiscovery | c1089cc4-042e-4c1f-9340-cfad63386aee |
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