3 papers
math.CV2009
Typically Real Harmonic Functions
Michael Dorff, Maria Nowak, Wojciech Szapiel
We consider a class $\THO$ of typically real harmonic functions on the unit disk that contains the class of normalized analytic and typically real functions. We also obtain some pa…
math.CV2009★ 1 cited
Convolutions of harmonic convex mappings
Michael Dorff, Maria Nowak, Magdalena Woloszkiewicz
The first author proved that the harmonic convolution of a normalized right half-plane mapping with either another normalized right half-plane mapping or a normalized vertical stri…
math.DG2006
Minimal Surface Linear Combinatoin Theorem
Michael Dorff, Stephen Taylor
Given two univalent harmonic mappings and on , which lift to minimal surfaces via the Weierstrass-Enneper representation theorem, we give necessary and suff…