32 citations · 36 across the 4 of their papers we have counts for
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Generalization of the Airy function and the operational methods
D. Babusci, G. Dattoli, D. Sacchetti
In this brief note the operatorial methods are applied to the study of the Airy function and its generalizations.
Integral equations, fractional calculus and shift operator
D. Babusci, G. Dattoli, D. Sacchetti
We present an extension of a previously developed method employing the formalism of the fractional derivatives to solve new classes of integral equations. This method uses differen…
The Lamb-Bateman integral equation and the fractional derivatives
D. Babusci, G. Dattoli, D. Sacchetti
The Lamb-Bateman integral equation was introduced to study the solitary wave diffraction and its solution was written in terms of an integral transform. We prove that it is essenti…
The Airy transform and the associated polynomials
D. Babusci, G. Dattoli, D. Sacchetti
The Airy transform is an ideally suited tool to treat problem in classical and quantum optics. Even though the relevant mathematical aspects have been thoroughly investigated, the…