A Note on the Hypercomplex Riemann-Cauchy Like Relations for Quaternions and Laplace Equations
Complex Variables
2013-04-16 v1
Abstract
In this note it is worked out a new set of Laplace-Like equations for quaternions through Riemann-Cauchy hypercomplex relations otained earlier \cite{BorgesZeMarcio}. As in the theory of functions of a complex variable, it is expected that this new set of Laplace-Like equations might be applied to a large number of Physical problems, providing new insights in the Classical Theory Fields.
Keywords
Cite
@article{arxiv.1304.3731,
title = {A Note on the Hypercomplex Riemann-Cauchy Like Relations for Quaternions and Laplace Equations},
author = {J A. P. F. Marão and M. F. Borges},
journal= {arXiv preprint arXiv:1304.3731},
year = {2013}
}