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math.CA2022
On an Umbral point of view to the Gaussian and Gaussian like functions
Giuseppe Dattoli, Emanuele Di Palma, Silvia Licciardi
In this note we review the theory of Gaussian functions by exploiting a point of view based on symbolic methods of umbral nature. We introduce quasi-Gaussian functions, which are c…
math.CA2022★ 1 cited
Monomiality and a New Family of Hermite Polynomials
Giuseppe Dattoli, Silvia Licciardi
In this article we go deeply into the formulation and meaning of the monomiality principle and employ it to study the properties of a set of polynomials, which, asymptotically, red…