2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117830Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi--orthogonality conditions. We obtain several characterizations for these polynomials including the analogous of the semiclassical Pearson differential equation, the structure relation and a differential--difference equation.10 pagesClassical Analysis and ODEs42C05 (Primary) 33C50 (Secondary)text