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http://hdl.handle.net/10773/36558
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Branquinho, Amílcar | pt_PT |
dc.contributor.author | Foulquié-Moreno, Ana | pt_PT |
dc.contributor.author | Pérez, Teresa E. | pt_PT |
dc.date.accessioned | 2023-03-13T15:26:31Z | - |
dc.date.available | 2023-03-13T15:26:31Z | - |
dc.date.issued | 2023-02-17 | - |
dc.identifier.issn | 1660-5446 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/36558 | - |
dc.description.abstract | We describe the relation between the systems of bivariate orthogonal polynomial associated to a symmetric weight function and associated to some particular Christoffel modifications of the quadratic decomposition of the original weight. We analyze the construction of a symmetric bivariate orthogonal polynomial sequence from a given one, orthogonal to a weight function defined on the first quadrant of the plane. In this description, a sort of Backlund type matrix transformations for the involved three term matrix coefficients plays an important role. Finally, we take as a case study relations between the classical orthogonal polynomials defined on the ball and those on the simplex. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Springer | pt_PT |
dc.relation | UID/MAT/00324/2020 | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Bivariate orthogonal polynomials | pt_PT |
dc.subject | Quadratic decomposition process | pt_PT |
dc.subject | Backlund-type relations | pt_PT |
dc.title | Quadratic decomposition of bivariate orthogonal polynomials | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.title | Mediterranean Journal of Mathematics | pt_PT |
degois.publication.volume | 20 | pt_PT |
dc.identifier.doi | 10.1007/s00009-023-02307-3 | pt_PT |
dc.identifier.essn | 1660-5454 | pt_PT |
dc.identifier.articlenumber | 118 | pt_PT |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
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File | Description | Size | Format | |
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56a6894e-d3ce-41fd-91fe-f92606fefbbd.pdf | 511.68 kB | Adobe PDF | View/Open |
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