Title of article :
Quasiconformal Harmonic Mappings Related to Janowski Starlike Functions
Author/Authors :
KAHRAMANER, YASEMIN Istanbul Commerce University - Department of Mathematics, Turkey , POLATOĞLU, YAŞAR İstanbul Kültür Üniversitesi - Department of Mathematics and Computer Science, Turkey
Abstract :
Let f(z)=h(z)=+g(z)be a univalent sense-preserving harmonic mapping of the open unit disc D = {z⎜ ⎜z⎜ 1}. If f satisfies the condition ⎜ω(z)⎜=|ǵ(z)/h (z)| k, 0 k 1, then is called k-quasiconformal harmonic mapping in D. The main purpose of this paper was to give some properties of the class of k-quasiconformal mappings related to Janowski starlike functions.
Keywords :
Coefficient inequality , distortion theorem , growth theorem , k , quasiconformal mapping
