Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/113166
DC Field | Value | Language |
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dc.contributor.author | Branquinho, Amílcar | - |
dc.contributor.author | Foulquié Moreno, Ana | - |
dc.contributor.author | Pérez, Teresa E. | - |
dc.date.accessioned | 2024-02-07T13:57:41Z | - |
dc.date.available | 2024-02-07T13:57:41Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 1660-5446 | pt |
dc.identifier.issn | 1660-5454 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/113166 | - |
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 B¨acklund 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 |
dc.description.sponsorship | AB acknowledges Centro de Matem´atica da Universidade de Coimbra (CMUC) – UID / MAT/ 00324 / 2020, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. AFM acknowledges CIDMA Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology (FCT) within project UID/MAT/04106/2020. TEP thanks FEDER/Junta de Andaluc´ıa under the research project A-FQM-246-UGR20; MCIN/AEI 10.13039/501100011033 and FEDER funds by PGC2018-094932-B-I00; and IMAG-Mar´ıa de Maeztu grant CEX2020-001105-M. | pt |
dc.language.iso | eng | pt |
dc.publisher | Springer Nature | pt |
dc.relation | Open access funding provided by FCT—FCCN (b-on). | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | Bivariate orthogonal polynomials | pt |
dc.subject | quadratic decomposition process | pt |
dc.subject | B¨acklund-type relations | pt |
dc.title | Quadratic Decomposition of Bivariate Orthogonal Polynomials | pt |
dc.type | article | - |
degois.publication.issue | 3 | pt |
degois.publication.title | Mediterranean Journal of Mathematics | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1007/s00009-023-02307-3 | pt |
degois.publication.volume | 20 | pt |
dc.date.embargo | 2023-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | Com Texto completo | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4685-1583 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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File | Description | Size | Format | |
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Quadratic-Decomposition-of-Bivariate-Orthogonal-PolynomialsMediterranean-Journal-of-Mathematics.pdf | 585.19 kB | Adobe PDF | View/Open |
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