e— Calculus

Main Article Content

Julio César Jaramillo-Quiceno https://orcid.org/0000-0002-3518-6680

Keywords

e—derivative, e— algebra, e-integral, q — e algebra

Abstract

In this work formulate the e— calculus based on the nature of the electric charges, using Newton third law and the Coulomb law, the e— algebra and the q — e deformed algebra associating the variables ei; ej as elementary charges, and x as the conductive variable. The e— derivative is defined from a simple experiment off-on light bulb respectively. On the other hand, the e— series, the e— integral, the q — e derivatives, series and integrals and their respective convergence criteria are formulated. On the e— integrals a path or closed contour Γ (x) is established to define the e— contour integrals and finally the q — e deformed calculus and the q — e Heisenberg algebra are formulated. 

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