We present explicit expressions for the Mellin transforms of Laguerre and Hermite functions in terms of a variety of special functions...
Keywords: Mellin transformation, Hermite polynomial, hypergeometric series, transformation formulas, generating function
01/2007 | Analysis, Oldenbourg WissenschaftsverlagWe present a new class of polynomials that are solutions of the generalized Laplace differential equation, written in spherical coordinates...
Keywords: Laplace equation, Dirac equation, polynomial solutions, generating function
11/2007 | Random Operators and Stochastic Equations, Walter de Gruyter