We present a new class of polynomials that are solutions of the generalized Laplacedifferential equation, written in spherical coordinates.Differentiation properties, orthogonal-ity, Rodrigues like formula, recurrence relations, generating functions and an integral represen-tation are discussed. As applications we recover the results associated withEn(r)polynomialsand present the solution of Dirac like equation in terms of this new class of polynomials.Key words.Laplace equation; Dirac equation; polynomial solutions; generating function Ver menos