Publication
On the second order holonomic equation for Sobolev-type orthogonal polynomials
| dc.contributor.author | Rebocho, Maria das Neves | |
| dc.date.accessioned | 2023-01-12T10:57:34Z | |
| dc.date.available | 2023-01-12T10:57:34Z | |
| dc.date.issued | 2022-05 | |
| dc.description.abstract | It is presented a general approach to the study of orthogonal polynomials related to Sobolev inner products which are defined in terms of divided-difference operators having the fundamental property of leaving a polynomial of degree $n-1$ when applied to a polynomial of degree $n$. This paper gives analytic properties for the orthogonal polynomials, including the second order holonomic difference equation satisfied by them. | pt_PT |
| dc.description.version | info:eu-repo/semantics/updatedVersion | pt_PT |
| dc.identifier.citation | Rebocho, M.N. (2022). On the second-order holonomic equation for Sobolev-type orthogonal polynomials. Applicable Analysis 101, no. 1, 314 - 336. | pt_PT |
| dc.identifier.doi | https://doi.org/10.1080/00036811.2020.1742881 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/12640 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.relation | Center for Mathematics, University of Coimbra | |
| dc.subject | Sobolev-type orthogonal polynomials | pt_PT |
| dc.subject | Special non-uniform lattices | pt_PT |
| dc.subject | Semiclassical class | pt_PT |
| dc.subject | Holonomic difference equation | pt_PT |
| dc.title | On the second order holonomic equation for Sobolev-type orthogonal polynomials | pt_PT |
| dc.type | journal article | |
| 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 | Applicable Analysis | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| 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.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 4db0eb68-7057-49f4-bbea-c5d85067cd3b | |
| relation.isAuthorOfPublication.latestForDiscovery | 4db0eb68-7057-49f4-bbea-c5d85067cd3b | |
| relation.isProjectOfPublication | 86df2ce5-35e9-46bf-a224-5b65b1645d0b | |
| relation.isProjectOfPublication.latestForDiscovery | 86df2ce5-35e9-46bf-a224-5b65b1645d0b |
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