Skew analysis over quaternions. I
Rings and Algebras
2022-11-15 v1
Abstract
We introduce a class of rings using which we define the concept of skew regularity for quaternion-valued functions over quaternions. It is shown that the notion of skew regularity coincides with the concept of slice regularity over symmetric slice domains. Known results regarding slice-regular functions over symmetric slice domains are generalized to skew-regular functions over general symmetric domains. Furthermore, we present new results concerning slice-regular functions.
Cite
@article{arxiv.2211.07006,
title = {Skew analysis over quaternions. I},
author = {Masood Aryapoor},
journal= {arXiv preprint arXiv:2211.07006},
year = {2022}
}