72 citations · 396 across the 74 of their papers we have counts for
5 papers · 2 filters
Generalized Transforms and Special Functions
G. Dattoli, E. Sabia
We study the properties of different type of transforms by means of operational methods and discuss the relevant interplay with many families of special functions. We consider in p…
Linear Potentials, Airy Wave Packets and Airy Transform
G. Dattoli, K. Zhukovsky
The solution of the Schrodinger equation with a linear potential is considered. We use algebraic methods to obtain the explicit form of the solution for the explicitly time depende…
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…
Hyperbolic and Circular Trigonometry and Application to Special Relativity
Giuseppe Dattoli, Mario Del Franco
We discuss the most elementary properties of the hyperbolic trigonometry and show how they can be exploited to get a simple, albeit interesting, geometrical interpretation of the s…
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…