Dattoli, G.Srivastava, H.M.Sacchetti, D.2017-11-012017-11-0120032003Dattoli, G., Srivastava, H.M. & Sacchetti, D. (2003). The Hermite Polynomials and the Bessel Functions from a General Point of View. International Journal of Mathematics and Mathematical Sciences, (23)57, 3633-3642. http://dx.doi.org/10.1155/S0161171203211133http://dx.doi.org/10.1155/S0161171203211133http://hdl.handle.net/1828/8762We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential-difference equations which are isospectral to those of the ordinary case. We also indicate the usefulness of some of these new families.enAttribution-NonCommercial 2.5 CanadaArticleDepartment of Mathematics and Statistics