33 citations · 86 across the 20 of their papers we have counts for
5 papers · 1 filter
Operational methods and Lorentz-type equations of motion
D. Babusci, G. Dattoli, E. Sabia
We propose an operational method for the solution of differential equations involving vector products. The technique we propose is based on the use of the evolution operator, defin…
The Euler Legacy to Modern Physics
G. Dattoli, M. Del Franco
Particular families of special functions, conceived as purely mathematical devices between the end of XVIII and the beginning of XIX centuries, have played a crucial role in the de…
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 Pseudo-Hyperbolic Functions and the Matrix Representation of Eisenstein Complex Numbers
G. Dattoli, E. Sabia, M. Del Franco
We consider the matrix representation of the Eisenstein numbers and in this context we discuss the theory of the Pseudo Hyperbolic Functions. We develop a geometrical interpretatio…