27 citations · 107 across the 12 of their papers we have counts for
6 papers · 1 filter
The algebra of factorial polynomials
D. Babusci, G. Dattoli, M. Carpanese
We discuss the formal aspects of the factorial polynomials and of the associated series. We develop the theory using the formalism of quasi-monomials and prove the usefulness of th…
A note on the extension of the Dirac method
D. Babusci, G. Dattoli, M. Quattromini +1
In this note we extend the Dirac method to partial differential equations involving higher order roots of differential operators.
On Ramanujan Master Theorem
D. Babusci, G. Dattoli
In this short note we use the umbral formalism to derive the Ramanujan Master Theorem and discuss its extension to more general cases.
Complex-type numbers and generalizations of the Euler identity
D. Babusci, G. Dattoli, E. Di Palma +1
We consider different generalizations of the Euler formula and discuss the properties of the associated trigonometric functions. The problem is analyzed from different points of vi…
On integrals involving Hermite polynomials
D. Babusci, G. Dattoli, M. Quattromini
We show how the combined use of the generating function method and of the theory of multivariable Hermite polynomials is naturally suited to evaluate integrals of gaussian function…
Relativistic equations with fractional and pseudo-differential operators
D. Babusci, G. Dattoli, M. Quattromini
In this paper we use different techniques from the fractional and pseudo-operators calculus to solve partial differential equations involving operators with non integer exponents.…