2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159444A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential operators. Each class of polynomials is complete, satisfies a two-step recurrence relation, integral inter-relations, and quasi-orthogonality relations.8 pagesClassical Analysis and ODEs42C05; 33C47; 33C45text