Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774432 | Journal of Mathematical Analysis and Applications | 2017 | 12 Pages |
Abstract
A 2p-times continuously differentiable complex valued function f=u+iv in a simply connected domain Ω is polyharmonic (or p-harmonic) if it satisfies the polyharmonic equation â³pF=0. Every polyharmonic mapping f can be written as f(z)=âk=1p|z|2(pâ1)Gpâk+1(z), where each Gpâk+1 is harmonic. In this paper we investigate the univalence of polyharmonic mappings on linearly connected domains and the relation between univalence of f(z) and that of Gp(z). The notion of stable univalence and logpolyharminc mappings are also considered.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Layan El Hajj,