2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75924A family of orthonormal polynomials on the unit ball $B^d$ of $\RR^d$ with respect to the inner product $$ < f,g > = \int_{B^d}Δ[(1-\|x\|^2) f(x)] Δ[(1-\|x\|) g(x)] dx, $$ where $Δ$ is the Laplace operator, is constructed explicitly.Classical Analysis and ODEs42A38, 42B08, 42B15text