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Öğe Harmonic function for which the second dilatation is alpha-spiral(Springer International Publishing AG, 2012) Aydoğan, Melike; Duman, Emel Yavuz; Polatoğlu, Yaşar; Kahramaner, YaseminLet 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.Öğe Harmonic Mappings For Which Co-Analytic Part Is a Close-To-Convex Function Of Order b(Springer International Publishing AG, 2015) Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, MelikeIn the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b is an element of C/{0}Öğe Quasiconformal harmonic mappings related to starlike functions(Eudoxus Press, LLC, 2014) Polatoğlu, Yaşar; Yavuz Duman, Emel ; Kahramaner, Yasemin; Aydoğan, MelikeLet (formula presented.) be a univalent sense-preserving harmonic mapping of the unit disc D = {z ∈ C||z| < 1}. If f satisfies the condition (formula presented.), 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.