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arXiv · 2207.05551

On an Umbral point of view to the Gaussian and Gaussian like functions

Giuseppe Dattoli·Emanuele Di Palma·Silvia Licciardi
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Abstract

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 close to Gaussian distribution but have a longer tail. Their use and their link with hypergeometric function is eventually presented.

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Giuseppe Dattoli, Emanuele Di Palma, Silvia Licciardi. 2022-07-11. On an Umbral point of view to the Gaussian and Gaussian like functions. https://arxiv.org/abs/2207.05551

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