Harmonic mappings onto parallel slit domains
Volume 101 / 2011
Annales Polonici Mathematici 101 (2011), 149-162
MSC: Primary 30C55, 31A05.
DOI: 10.4064/ap101-2-5
Abstract
We consider typically real harmonic univalent functions in the unit disk $\mathbb D $ whose range is the complex plane slit along infinite intervals on each of the lines $x\pm ib$, $b>0$. They are obtained via the shear construction of conformal mappings of $\mathbb D $ onto the plane without two or four half-lines symmetric with respect to the real axis.
