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Dual Numbers and Operational Umbral Methods

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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… Click to show full 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.

Keywords: numbers operational; operational umbral; dual numbers; umbral methods

Journal Title: Axioms
Year Published: 2019

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