On calculus with a quaternionic variable and its characteristic Cauchy-Riemann type equations
Complex Variables
2009-03-18 v1
Abstract
We show sufficient and necessary conditions, in terms of some partial differential equations with variable coefficients, for a quaternionic function to admit a continuous derivative in a open set in the sense of C. Schwartz.
Cite
@article{arxiv.0903.2899,
title = {On calculus with a quaternionic variable and its characteristic Cauchy-Riemann type equations},
author = {Daniel Alayon-Solarz},
journal= {arXiv preprint arXiv:0903.2899},
year = {2009}
}