Browsing by Author "Polatoğlu, Yaşar"
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Bounded harmonic mappings related to starlike functions
Varol, Dürdane; Aydoğan, Seher Melike; Polatoğlu, Yaşar (Amer Inst Physics, 20141217)Let f = h(z) + <(g(z))over bar> be a sensepreserving 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 ... 
A certain class of harmonic mappings related to functions of bounded boundary rotation
Polatoğlu, Yaşar; Yavuz Duman, Emel; Aydoğan, Seher Melike (Eudoxus Press, 201405)Let V(k) be the class of functions with bounded boundary rotation and let SH be the class of sensepreserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the ... 
A certain class of starlike logharmonic mappings
Aydoğan, Seher Melike; Polatoğlu, Yaşar (Elsevier Science BV, 201411)In this paper we investigate some properties of logharmonic starlike mappings. For this aim we use the subordination principle or Lindelof Principle (Lewandowski (1961) [71). 
Closetoconvex functions defined by fractional operator
Let S denote the class of functions f(z) = z + a2z2+... analytic and univalent in the open unit disc D = {z ∈ Cz<1}. Consider the subclass and S* of S, which are the classes ofconvex and starlike functions, respectively. ... 
Harmonic function for which the second dilatation is αspiral
Aydoğan, Seher Melike; Duman, Emel Yavuz; Polatoğlu, Yaşar; Kahramaner, Yasemin (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 alphaspiral. 
Harmonic mappings for which coanalytic part is a closetoconvex function of order b
Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike (Springer International Publishing, 20150116)In the present paper we investigate a class of harmonic mappings for which the second dilatation is a closetoconvex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):11011108, ... 
Harmonic mappings related to closetoconvex functions of complex order b
Polatoğlu, Yaşar (Işık University Press, 20131012)Let CC(b) be the class of functions closetoconvex functions of order b, and let SH be the class of harmonic mappings in the plane. In the present paper we investigate harmonic mappings related to closetoconvex functions ... 
Harmonic mappings related to Janowski convex functions of complex order b
Let SH be the class of all sensepreserving harmonic mappings in the open unit disc D = {z ∈ ℂz < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ... 
Harmonic mappings related to Janowski starlike functions
Kahramaner, Yasemin; Polatoğlu, Yaşar; Aydoğan, Seher Melike (Elsevier Science BV, 201411)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 mappings related to the convex functions
Yemişci, Arzu; Polatoğlu, Yaşar (Işık University Press, 20131012)The main purpose of this paper is to give the extent idea which was introduced by R. M. Robinson [5]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings related to ... 
On the class of harmonic mappings which is related to the class of bounded boundary rotation
Aydoğan, Seher Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 20150915)The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero ... 
qStarlike functions of order alpha
Polatoğlu, Yaşar; Uçar, Faruk; Yılmaz, Bülent (Işık University Press, 20170908)For all q ∈ (0, 1) and 0 ≤ α < 1 we define a class of analytic functions, socalled qstarlike functions of order α on the open unit disc D = {z : z < 1} . We will study this class of functions and explore some inclusion ... 
Quasiconformal harmonic mappings related to Janowski alphaspirallike functions
Aydoğan, Seher Melike; Polatoğlu, Yaşar (Amer Inst Physics, 2014)Let f = h(z) + g(z) be a univalent sensepreserving harmonic mapping of the open unit disc D = {z/vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar = vertical bar g'(z)/h'(z)vertical ... 
Quasiconformal harmonic mappings related to starlike functions
Polatoğlu, Yaşar; Duman, Emel Yavuz; Kahramaner, Yasemin; Aydoğan, Seher Melike (Eudoxus Press, 201407)Let f = h(z) + <(g(z))over bar> be a univalent sensepreserving 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 = ... 
Some properties of starlike harmonic mappings
Aydoğan, Seher Melike; Yemişçi, Arzu; Polatoğlu, Yaşar (Springer International Publishing AG, 2012)A fundamental result of this paper shows that the transformation F=az(h(z+a/1+(a) over barz) + /(h(a) + <(g(a))over bar>(z + a) (1 + (a) over barz) defines a function in S0 HS* whenever f = h( z) + g( z) is S0 HS*, andwewill ...