Riemann slice-domains over quaternions II
Complex Variables
2018-09-26 v2
Abstract
We generalize the representation formula from slice-domains of regularity to general Riemann slice-domains. This result allows us to extend the -product of slice regular functions on axially symmetric domains to certain Riemann slice-domains by introducing holomorphic stem systems and tensor holomorphic functions. In particular, we construct a power series expansions of slice regular functions on certain Riemann slice-domains, which implies a relation between stem holomorphic, tensor holomorphic and slice regular functions.
Keywords
Cite
@article{arxiv.1809.07979,
title = {Riemann slice-domains over quaternions II},
author = {Xinyuan Dou and Guangbin Ren},
journal= {arXiv preprint arXiv:1809.07979},
year = {2018}
}
Comments
49 pages