2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218383We show that the Cariñena orthogonal polynomials are Jacobi polynomials; moreover, there exists a natural bijection between the negative and the positive curvature cases. These results hold only in the two dimensional case.first versionClassical Analysis and ODEsStatistical Mechanicstext