| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5774663 | Journal of Mathematical Analysis and Applications | 2018 | 14 Pages |
Abstract
We study a hereditary starlikeness property for planar harmonic mappings on a disk and on an annulus. While such a property is a common trait of conformal mappings, it may be absent in harmonic mappings. It turns out that a sufficient condition for a harmonic mapping f to possess this hereditary property is to have a harmonic argument - a striking feature of conformal mappings that does not extend to all harmonic mappings.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ngin-Tee Koh,