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Three term relations formultivariate Uvarov orthogonal polynomials
dc.contributor.author | Aktas, Rabia | |
dc.contributor.author | Pérez Fernández, Teresa Encarnación | |
dc.date.accessioned | 2022-10-20T07:11:53Z | |
dc.date.available | 2022-10-20T07:11:53Z | |
dc.date.issued | 2022-09-29 | |
dc.identifier.citation | Aktaş, R., Area, I. & Pérez, T.E. Three term relations for multivariate Uvarov orthogonal polynomials. Comp. Appl. Math. 41, 330 (2022). [https://doi.org/10.1007/s40314-022-02030-x] | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/77412 | |
dc.description.abstract | Three term relations for orthogonal polynomials in several variables associated to a moment linear functional obtained by a Uvarov modification of a givenmoment functional are studied. Existence of Uvarov orthogonal polynomials is analyzed, stating conditions to ensure it. The matrices of the three term relations of the Uvarov orthogonal polynomials are explicitly given in terms of the matrices of the three term relations satisfied by the original family. Two examples are presented in order to show that the results are valid for positive definite linear functionals and also for some quasi definite linear functionals which are not positive definite. | es_ES |
dc.description.sponsorship | Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) 120F140 | es_ES |
dc.description.sponsorship | Spanish Government PID2020-113275GB-I00 | es_ES |
dc.description.sponsorship | European Commission | es_ES |
dc.description.sponsorship | FEDER/J. Andalucia A-FQM-246-UGR20 | es_ES |
dc.description.sponsorship | MCIN/AEI PGC2018-094932-B-I00 | es_ES |
dc.description.sponsorship | European Commission PGC2018-094932-B-I00 | es_ES |
dc.description.sponsorship | IMAG-Maria de Maeztu grant CEX2020-001105-M | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | es_ES |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Multivariate orthogonal polynomials | es_ES |
dc.subject | Uvarov orthogonal polynomials | es_ES |
dc.subject | Moment linear functional | es_ES |
dc.subject | Modification of moment linear functionals | es_ES |
dc.title | Three term relations formultivariate Uvarov orthogonal polynomials | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1007/s40314-022-02030-x | |
dc.type.hasVersion | VoR | es_ES |