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Items for "generating function"

Special functions and the Mellin transforms of Laguerre and Hermite functions

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 Wissenschaftsverlag
Some properties of the Eln(r) polynomials

We 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