2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79017In this paper we obtain a set of polynomials which are orthogonal with respect to the classical discrete weight function of the Charlier polynomials at which an extra point mass at x=0 is added. We construct a difference operator of infinite order for which these new discrete orthogonal polynomials are eigenfunctions.11 pagesClassical Analysis and ODEs33C45 (Primary) 39A10 (Secondary)text