A note on polyharmonic mappings
Complex Variables
2020-12-09 v1
Abstract
In this paper we prove a Rad\'o type result showing that there is no univalent polyharmonic mapping of the unit disk onto the whole complex plane. We also establish a connection between the boundary functions of harmonic and biharmonic mappings. Finally, we show how a close-to-convex biharmonic mapping can be constructed from a convex harmonic mapping.
Keywords
Cite
@article{arxiv.2012.04340,
title = {A note on polyharmonic mappings},
author = {Daoud Bshouty and Stavros Evdoridis and Antti Rasila},
journal= {arXiv preprint arXiv:2012.04340},
year = {2020}
}
Comments
9 pages, 1 figure