A Note on Polyharmonic Mappings

Daoud Bshouty, Stavros Evdoridis, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review


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
Number of pages11
JournalComputational Methods and Function Theory
Publication statusE-pub ahead of print - 26 Jul 2021
MoE publication typeA1 Journal article-refereed


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


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  • Korte Riikka

    Korte, R., Evdoridis, S., Vestberg, M., Buffa, V., Myyryläinen, K., Kurki, E., Pacchiano Camacho, C., Takala, T. & Weigt, J.


    Project: Academy of Finland: Other research funding

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