Turkish Journal of Mathematics
Abstract
We consider the class S_H(D,\Omega ) of complex functions f which are univalent, harmonic, sense preserving on a simple connected domain D\neq {\Bbb C} \ containing the origin, satisfy f(0)=a_0, f_{\bar z}(0)=0a,\ a\in {\Bbb R}\}. In particularly, we describe the closure \overline{S_H(D,\Omega )} of S_H(D,\Omega ) and characterize its extreme points, as well as sharp estimates for coefficients and distortion theorems.
DOI
-
Keywords
Harmonic mappings, Extremal problems.
First Page
301
Last Page
313
Recommended Citation
ÖZTÜRK, M (1999). Univalent Harmonic Mappings Onto Half Planes. Turkish Journal of Mathematics 23 (2): 301-313. https://doi.org/-
