On the Differentiability of Quaternion Functions
Complex Variables
2012-03-27 v1
Abstract
Motivated by the general problem of extending the classical theory of holomorphic functions of a complex variable to the case of quater- nion functions, we give a notion of an H-derivative for functions of one quaternion variable. We show that the elementary quaternion func- tions introduced by Hamilton as well as the quaternion logarithm function possess such a derivative. We conclude by establishing rules for calculating H-derivatives.
Cite
@article{arxiv.1203.5619,
title = {On the Differentiability of Quaternion Functions},
author = {Omar Dzagnidze},
journal= {arXiv preprint arXiv:1203.5619},
year = {2012}
}