Publication:
Quasiconformal Harmonic Mappings Related To Starlike Functions

Date
2014-07
Authors
Polatoğlu, Yaşar
Yavuz Duman, Emel
Kahramaner, Yasemin
Aydoğan, Melike
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Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa
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Abstract

Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = vertical bar g'(z)/h'(z)vertical bar < k, (0 <= k < 1), then f is called k-quasiconformal harmonic mapping in D.

The aim of this paper is to investigate a subclass of k-quasiconformal harmonic mappings.

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Keywords
k- quasiconformal harmonic mappings , distortion theorem , coefficient inequality
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