From Circular to Bessel Functions: A Transition through the Umbral Method

A common environment in which to place Bessel and circular functions is envisaged. We show, by the use of operational methods, that the Gaussian provides the umbral image of these functions. We emphasize the role of the spherical Bessel functions and a family of associated auxiliary polynomials, as...

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Bibliographic Details
Main Authors: Giuseppe Dattoli, Emanuele Di Palma, Silvia Licciardi, Elio Sabia
Format: Article
Language:English
Published: MDPI AG 2017-11-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/1/1/9