Institut de Recherche en Informatique Fondamentale (IRIF), Université de Paris, Bâtiment Sophie Germain, Case Courier 7014, 8 Place Aurélie Nemours, CEDEX 13, 75205 Paris, France
Giuseppe Dattoli
ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, Italy
Ambra Lattanzi
ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, Italy
Silvia Licciardi
ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, Italy
Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view, embedding dual numbers within a formalism reminiscent of operational umbral calculus.
