Turkish Journal of Mathematics
DOI
-
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.
Keywords
Harmonic mappings, Extremal problems.
First Page
301
Last Page
313
Recommended Citation
ÖZTÜRK, METİN (1999) "Univalent Harmonic Mappings Onto Half Planes," Turkish Journal of Mathematics: Vol. 23: No. 2, Article 8. Available at: https://journals.tubitak.gov.tr/math/vol23/iss2/8
