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Dual Numbers and Operational Umbral Methods

Authors :
Nicolas Behr
Giuseppe Dattoli
Ambra Lattanzi
Silvia Licciardi
Source :
Axioms, Vol 8, Iss 3, p 77 (2019)
Publication Year :
2019
Publisher :
MDPI AG, 2019.

Abstract

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.

Details

Language :
English
ISSN :
20751680
Volume :
8
Issue :
3
Database :
Directory of Open Access Journals
Journal :
Axioms
Publication Type :
Academic Journal
Accession number :
edsdoj.1e6cabaf9cc456f95ccc4d55244cd0f
Document Type :
article
Full Text :
https://doi.org/10.3390/axioms8030077