A Note on Polyharmonic Mappings

Daoud Bshouty, Stavros Evdoridis, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this paper we prove a Radó 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.

Original languageEnglish
JournalComputational Methods and Function Theory
DOIs
Publication statusE-pub ahead of print - 2021
MoE publication typeA1 Journal article-refereed

Keywords

  • Biharmonic mappings
  • Boundary extensions
  • Close-to-convex mappings
  • Harmonic mappings
  • Polyharmonic mappings
  • Radó theorem

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