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Quasiconformal harmonic mappings related to starlike functions
(Eudoxus Press, 2014-07)
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 = ...
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 ...
Harmonic function for which the second dilatation is ?-spiral
(Springer International Publishing AG, 2012)
Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alpha-spiral.
Harmonic mappings related to Janowski convex functions of complex order b
(2013)
Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ? ?