@misc{10481/77095,
year = {2022},
month = {8},
url = {https://hdl.handle.net/10481/77095},
abstract = {We study bivariate orthogonal polynomials associated with Freud
weight functions depending on real parameters. We analyse relations between
the matrix coefficients of the three term relations for the orthonormal
polynomials as well as the coefficients of the structure relations satisfied by
these bivariate semiclassical orthogonal polynomials, also a matrix differentialdifference
equation for the bivariate orthogonal polynomials is deduced. The
extension of the Painlev´e equation for the coefficients of the three term relations
to the bivariate case and a two dimensional version of the Langmuir
lattice are obtained.},
organization = {Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES)	88887.310463/2018-00	
88887.575407/2020-00},
organization = {FEDER/Junta de Andalucia	A-FQM-246-UGR20},
organization = {MCIN	PGC2018-094932B-I00},
organization = {European Commission},
organization = {IMAG-Maria de Maeztu grant	CEX2020-00 1105-M},
publisher = {Taylor & Francis},
keywords = {Bivariate orthogonal polynomials},
keywords = {Freud orthogonal polynomials},
keywords = {Three term relations},
keywords = {Matrix Painlevé-type difference equations},
title = {Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations},
author = {Bracciali, Cleonice F. and Pérez Fernández, Teresa Encarnación},
}