Almansi-type decomposition and Fueter-Sce theorem for generalized partial-slice regular functions
Complex Variables
2024-11-19 v2
Abstract
Very recently, the concept of generalized partial-slice monogenic (or regular) functions has been introduced to unify the theory of monogenic functions and of slice monogenic functions over Clifford algebras. Inspired by the work of A. Perotti, in this paper we provide two analogous versions of the Almansi decomposition in this new setting. Additionally, two enhancements of the Fueter-Sce theorem have been obtained for generalized partial-slice regular functions.
Cite
@article{arxiv.2411.05571,
title = {Almansi-type decomposition and Fueter-Sce theorem for generalized partial-slice regular functions},
author = {Qinghai Huo and Pan Lian and Jiajia Si and Zhenghua Xu},
journal= {arXiv preprint arXiv:2411.05571},
year = {2024}
}
Comments
18 pages