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Lax-type pairs in the theory of bivariate orthogonal polynomials

dc.contributor.authorBranquinho, Amílcar
dc.contributor.authorFoulquié-Moreno, Ana
dc.contributor.authorPérez Fernández, Teresa Encarnación 
dc.contributor.authorPiñar González, Miguel Ángel 
dc.date.accessioned2025-07-01T10:34:24Z
dc.date.available2025-07-01T10:34:24Z
dc.date.issued2025-09-15
dc.identifier.citationA. Branquinho et al. Linear Algebra and its Applications 721 (2025) 219–239. https://doi.org/10.1016/j.laa.2024.03.020es_ES
dc.identifier.urihttps://hdl.handle.net/10481/105016
dc.descriptionFunding for open access charge: Universidad de Granada. AB acknowledges Centre for Mathematics of the University of Coimbra (funded by the Portuguese Government through FCT/MCTES, DOI: 10.54499/UIDB/00324/2020 ). AFM acknowledge the CIDMA Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology (FCT) for their support within project DOI: 10.54499/UIDB/04106/2020 . TEP and MAP thanks IMAG-María de Maeztu grant CEX2020-001105-M, and Research Group Goya FQM-384.es_ES
dc.description.abstractSequences 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.es_ES
dc.description.sponsorshipUniversidad de Granadaes_ES
dc.description.sponsorshipPortuguese Government FCT/MCTES, DOI: 10.54499/UIDB/00324/2020es_ES
dc.description.sponsorshipUniversity of Aveiroes_ES
dc.description.sponsorshipPortuguese Foundation for Science and Technology (FCT) DOI: 10.54499/UIDB/04106/2020es_ES
dc.description.sponsorshipIMAG-María de Maeztu CEX2020-001105-Mes_ES
dc.description.sponsorshipResearch Group Goya FQM-384es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectTwo variable orthogonal polynomialses_ES
dc.subject2D Toda latticees_ES
dc.subjectBlock Lax pairses_ES
dc.titleLax-type pairs in the theory of bivariate orthogonal polynomialses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1016/j.laa.2024.03.020
dc.type.hasVersionVoRes_ES


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