Growth theorems for slice Dirac-regular mappings over Clifford algebras
Complex Variables
2026-02-05 v1
Abstract
In this paper, we define a class of slice Dirac-regular mappings of several variables over Clifford algebras, based on the concept of O(3)-stem mappings. We prove that the slice mappings vanish under the slice Dirac operator, which is equivalent to its O(3)-stem mappings satisfy the generalized version of the Cauchy-Riemann equation. Moreover, we establish the growth theorem for slice Dirac-regular starlike mappings in the slice cones of Clifford algebras, as well as for slice Dirac-regular k-fold symmetric mappings.
Cite
@article{arxiv.2602.04156,
title = {Growth theorems for slice Dirac-regular mappings over Clifford algebras},
author = {Ting Yang and Xinyuan Dou},
journal= {arXiv preprint arXiv:2602.04156},
year = {2026}
}