@misc{10481/105016,
year = {2025},
month = {9},
url = {https://hdl.handle.net/10481/105016},
abstract = {Sequences of bivariate orthogonal polynomials written as vector polynomials of increasing size satisfy a couple of three term relations with matrix coefficients. In this work, introducing a time-dependent parameter, we analyze a Lax-type pair system for the coefficients of the three term relations. We also deduce several characterizations relating the Lax-type pair, the shape of the weight, Stieltjes function, moments, a differential equation for the weight, and the bidimensional Toda-type systems.},
organization = {Universidad de Granada},
organization = {Portuguese Government FCT/MCTES, DOI: 10.54499/UIDB/00324/2020},
organization = {University of Aveiro},
organization = {Portuguese Foundation for Science and Technology (FCT) DOI: 10.54499/UIDB/04106/2020},
organization = {IMAG-María de Maeztu CEX2020-001105-M},
organization = {Research Group Goya FQM-384},
publisher = {Elsevier},
keywords = {Two variable orthogonal polynomials},
keywords = {2D Toda lattice},
keywords = {Block Lax pairs},
title = {Lax-type pairs in the theory of bivariate orthogonal polynomials},
doi = {10.1016/j.laa.2024.03.020},
author = {Branquinho, Amílcar and Foulquié-Moreno, Ana and Pérez Fernández, Teresa Encarnación and Piñar González, Miguel Ángel},
}