The $*$-exponential as a covering map
Complex Variables
2023-10-03 v1
Abstract
We employ tools from complex analysis to construct the -logarithm of a quaternionic slice regular function. Our approach enables us to achieve three main objectives: we compute the monodromy associated with the -exponential; we establish sufficient conditions for the -product of two -exponentials to also be a -exponential; we calculate the slice derivative of the -exponential of a regular function.
Keywords
Cite
@article{arxiv.2310.01137,
title = {The $*$-exponential as a covering map},
author = {Amedeo Altavilla and Samuele Mongodi},
journal= {arXiv preprint arXiv:2310.01137},
year = {2023}
}
Comments
27 pages