3 citations · 6 across the 7 of their papers we have counts for
7 papers
Bell polynomials and generalized Laplace transforms
Paolo Emilio Ricci
An extension of the Laplace transform obtained by using the Laguerre-type exponentials is first shown. Furthermore, the solution of the Blissard problem by means of the Bell polyno…
Dirac factorization and fractional calculus
D. Babusci, G. Dattoli, M. Quattromini +1
We show that the Dirac factorization method can be successfully employed to treat problems involving operators raised to a fractional power. The technique we adopt is based on an e…
Integrals of Bessel functions
D. Babusci, G. Dattoli, B. Germano +2
We use the operator method to evaluate a class of integrals involving Bessel or Bessel-type functions. The technique we propose is based on the formal reduction of these family of…
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.
The Parabolic-Trigonometric Functions
G. Dattoli, M. Migliorati, M. Quattromini +1
The parabolic functions are introduced in analogy to the circular and hyperbolic cases. We discuss the relevant properties, the geometrical interpretation and touch on possible gen…
The parabolic trigonometric functions and the Chebyshev radicals
G. Dattoli, M. Migliorati, P. E. Ricci
The parabolic trigonometric functions have recently been introduced as an intermediate step between circular and hyperbolic functions. They have been shown to be expressible in ter…