72 citations · 147 across the 25 of their papers we have counts for
8 papers · 1 filter
An operational point of view to the theory of multi-variable/multi-index Hermite polynomials
Giuseppe Dattoli, Silvia Licciardi, Elio Sabia
The use of algebraic tools of operational and umbral nature is exploited to develop a new point of view and to extend the theory of Hermite polynomials, with more than one variable…
Theory of relativistic heat polynomials and one-sided Lévy distributions
G. Dattoli, K. Górska, A. Horzela +2
The theory of pseudo-differential operators is a powerful tool to deal with differential equations involving differential operators under the square root sign. These type of equati…
Relativistic Wave Equations: An Operational Approach
G. Dattoli, E. Sabia, K. Górska +2
The use of operator methods of algebraic nature is shown to be a very powerful tool to deal with different forms of relativistic wave equations. The methods provide either exact or…
Products of Bessel functions and associated polynomials
G. Dattoli, E. Di Palma, E. Sabia +1
The symbolic method is used to get explicit formulae for the products or powers of Bessel functions and for the relevant integrals.
Relativistic harmonic oscillator
D. Babusci, G. Dattoli, M. Quattromini +1
We consider the relativistic generalization of the harmonic oscillator problem by addressing different questions regarding its classical aspects. We treat the problem using the for…
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…