2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74996We study a family of orthogonal polynomials which generalizes a sequence of polynomials considered by L. Carlitz. We show that they are a special case of the Sheffer polynomials and point out some interesting connections with certain Sobolev orthogonal polynomials.23 pagesClassical Analysis and ODEs33A65 (Primary) 11B83, 46E39 (Secondary)text