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arXiv · 2012.04340

A note on polyharmonic mappings

Daoud Bshouty·Stavros Evdoridis·Antti Rasila
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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.

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Daoud Bshouty, Stavros Evdoridis, Antti Rasila. 2020-12-08. A note on polyharmonic mappings. https://arxiv.org/abs/2012.04340

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