Dual Numbers and Operational Umbral Methods
General Mathematics
2019-05-27 v1
Abstract
Dual numbers and their higher order version are important tools for numerical computations, and in particular for finite difference calculus. Based upon the relevant algebraic rules and matrix realizations of dual numbers, we will present a novel point of view, embedding dual numbers within a formalism reminiscent of operational umbral calculus.
Cite
@article{arxiv.1905.09931,
title = {Dual Numbers and Operational Umbral Methods},
author = {Nicolas Behr and Giuseppe Dattoli and Ambra Lattanzi and Silvia Licciardi},
journal= {arXiv preprint arXiv:1905.09931},
year = {2019}
}
Comments
10 pages, MDPI style