D. Gomes, E. Capelas de Oliveira, E. A. Notte Cuello
December 7, 2007
We present a new class of polynomials that are solutions of the generalized Laplace differential equation, written in spherical coordinates. Differentiation properties, orthogonality, Rodrigues like formula, recurrence relations, generating functions and an integral representation are discussed. As applications we recover the results associated with E n ( r ) polynomials and present the solution of Dirac like equation in terms of this new class of polynomials.