A Phragm\'en - Lindel\"of principle for slice regular functions
Complex Variables
2022-09-07 v1
Abstract
The celebrated 100-year old Phragmen-Lindelof principle is a far reaching extension of the maximum modulus theorem for holomorphic functions of one complex variable. In some recent papers there has been a resurgence of interest in principles of this type for functions of a hypercomplex variable and for solutions of suitable partial differential equations. In the present article we obtain a Phragmen-Lindelof principle for slice regular functions, a class of quaternion-valued functions of a quaternionic variable which has been recently introduced.
Cite
@article{arxiv.0901.2967,
title = {A Phragm\'en - Lindel\"of principle for slice regular functions},
author = {G. Gentili and C. Stoppato and D. C. Struppa},
journal= {arXiv preprint arXiv:0901.2967},
year = {2022}
}
Comments
10 pages