Open AccessHolomorphy in Pseudo-Euclidean Spaces and the Classic Electromagnetic Theory
Author(s) -
Vlad L. Negulescu
Publication year - 2019
Publication title -
transactions on networks and communications
Language(s) - English
Resource type - Journals
ISSN - 2054-7420
DOI - 10.14738/tnc.74.6936
Subject(s) - holomorphic function , mathematics , euclidean space , mathematical analysis , cauchy distribution , euclidean geometry , pure mathematics , mathematical physics , geometry
A new concept of holomorphy in pseudo-Euclidean spaces is briefly presented. The set of extended Cauchy-Riemannn differential equations, which are verified by the holomorphic functions, is obtained. A form of the general pseudo-rotation matrix was developed. The generalized d’Alembert- operator and extended Poisson’s equations are defined. Applying these results to the relativistic space-time, the charge conservation and general Maxwell equations are derived.