Univalent Harmonic Mappings Onto Half Planes

Authors : Metin ÖZTÜRK

Pages : 301-313

View : 14 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We consider the class SHinsert ignore into journalissuearticles values(D,W ); of complex functions f which are univalent, harmonic, sense preserving on a simple connected domain D\neq {\Bbb C} \ containing the origin, satisfy finsert ignore into journalissuearticles values(0);=a0, f\bar zinsert ignore into journalissuearticles values(0);=0a,\ a\in {\Bbb R}\}. In particularly, we describe the closure \overline{SHinsert ignore into journalissuearticles values(D,W );} of SHinsert ignore into journalissuearticles values(D,W ); and characterize its extreme points, as well as sharp estimates for coefficients and distortion theorems.
Keywords : Harmonic mappings, Extremal problems