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Harmonic mappings related to Janowski starlike functions
(Elsevier Science BV, 2014-11)
The main purpose of the present paper is to give the extent idea which was introduced by Robinson(1947) [6]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings ...
Bounded harmonic mappings related to starlike functions
(Amer Inst Physics, 2014-12-17)
Let f = h(z) + <(g(z))over bar> be a sense-preserving harmonic mapping in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar 1/b(1) g'(z)/h' (z) - M vertical ...