On the Rate of Convergence and the Voronovskaya Theorem for the Poisson Integrals for Hermite and Laguerre Expansions Original Research Article

The aim of this paper is the study of a rate of convergence of Poisson integrals for Hermite and Laguerre expansions. We prove also the Voronovskaya type theorem and we present boundary value problems related to these integrals.