Next Article in Journal / Special Issue
Cohomology Theory of Nonassociative Algebras with Metagroup Relations
Previous Article in Journal
Generalized Hyers–Ulam Stability of the Additive Functional Equation
Previous Article in Special Issue
Unification Theories: New Results and Examples
Article

Dual Numbers and Operational Umbral Methods

1
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
2
ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044 Rome, Italy
3
H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Science, ul. Radzikowskiego 152, 31-342 Kraków, Poland
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(3), 77; https://doi.org/10.3390/axioms8030077
Received: 22 May 2019 / Revised: 25 June 2019 / Accepted: 26 June 2019 / Published: 2 July 2019
(This article belongs to the Special Issue Non-associative Structures and Other Related Structures)
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. View Full-Text
Keywords: dual numbers; operational methods; umbral image techniques dual numbers; operational methods; umbral image techniques
MDPI and ACS Style

Behr, N.; Dattoli, G.; Lattanzi, A.; Licciardi, S. Dual Numbers and Operational Umbral Methods. Axioms 2019, 8, 77. https://doi.org/10.3390/axioms8030077

AMA Style

Behr N, Dattoli G, Lattanzi A, Licciardi S. Dual Numbers and Operational Umbral Methods. Axioms. 2019; 8(3):77. https://doi.org/10.3390/axioms8030077

Chicago/Turabian Style

Behr, Nicolas; Dattoli, Giuseppe; Lattanzi, Ambra; Licciardi, Silvia. 2019. "Dual Numbers and Operational Umbral Methods" Axioms 8, no. 3: 77. https://doi.org/10.3390/axioms8030077

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop