@misc{10481/80916,
year = {2023},
month = {2},
url = {https://hdl.handle.net/10481/80916},
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.},
organization = {FCT-FCCN (b-on)},
publisher = {Springer},
keywords = {Bivariate orthogonal polynomials},
keywords = {Quadratic decomposition process},
keywords = {Bäcklund-type relations},
title = {Quadratic Decomposition of Bivariate Orthogonal Polynomials},
doi = {10.1007/s00009-023-02307-3},
author = {Branquinho, Amílcar and Pérez Fernández, Teresa Encarnación},
}