pith. sign in

arxiv: 2012.04340 · v1 · pith:LOILLRRNnew · submitted 2020-12-08 · 🧮 math.CV

A note on polyharmonic mappings

classification 🧮 math.CV
keywords mappingbiharmonicharmonicmappingspolyharmonicboundaryclose-to-convexcomplex
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.