Compositions of polyharmonic mappings
Complex Variables
2016-10-21 v1
Abstract
The paper is devoted to the study of compositions of polyharmonic mappings in simply connected domains. More precisely, we determine necessary and sufficient conditions of polyharmonic mapping such that (resp. ) is -harmonic for any analytic function (or harmonic mapping but not analytic, or -harmonic mapping but not -harmonic) .
Cite
@article{arxiv.1610.06389,
title = {Compositions of polyharmonic mappings},
author = {Gang Liu and Saminathan Ponnusamy},
journal= {arXiv preprint arXiv:1610.06389},
year = {2016}
}
Comments
13 pages