Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/36558
Title: | Quadratic decomposition of bivariate orthogonal polynomials |
Author: | Branquinho, Amílcar Foulquié-Moreno, Ana Pérez, Teresa E. |
Keywords: | Bivariate orthogonal polynomials Quadratic decomposition process Backlund-type relations |
Issue Date: | 17-Feb-2023 |
Publisher: | Springer |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/36558 |
DOI: | 10.1007/s00009-023-02307-3 |
ISSN: | 1660-5446 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
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56a6894e-d3ce-41fd-91fe-f92606fefbbd.pdf | 511.68 kB | Adobe PDF | View/Open |
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