Browsing by Author "Aydoğan, Seher Melike"
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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 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 starlike function of complex order α
Aydoğan, Seher Melike (Işık University Press, 2014)Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z) h(z) = z + ∑∞ n=2 anz n, g(z) = ∑∞ n=1 bnz n } The purpose of this talk is to present some results about harmonic mappings which was introduced ... 
Harmonic mappings related to the mfold starlike functions
Aydoğan, Seher Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 20150915)In the present paper we will give some properties of the subclass of harmonic mappings which is related to mfold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ... 
An investigation of the certain class of multivalent harmonic mappings
Aydoğan, Seher Melike; Özkan Uçar, Hatice Esra; Polatoǧlu, Yaşar (Eudoxus Press, 201603)The main purpose of the present paper is to investigate some properties of the certain class of sensepreserving pvalent harmonic mappings in the open unit disc D = {z is an element of C parallel to z vertical bar < 1}. 
Notes on Harmonic Functions for which the second Dilatation is α  spiral
Aydoğan, Seher Melike (Eudoxus Press, 201506)In this study, we consider, f = h + (g) over bar harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as SHPST*(alpha, beta) We ... 
Notes on starlike logharmonic functions of order α
For logharmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(?) and G*LH(?) of S*LH(?) consisting of all starlike logharmonic functions of order ? (0 ? ? < 1) are considered. The object of ... 
On approximate solutions for two higherorder CaputoFabrizio fractional integrodifferential equations
Aydoğan, Seher Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram (Springer International Publishing AG, 20170803)We investigate the existence of solutions for two highorder fractional differential equations including the CaputoFabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the highorder ... 
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 ... 
Positive solutions for a sumtype singular fractional integrodifferential equation with mpoint boundary conditions
Aydoğan, Seher Melike; Nazemi, Sayyedeh Zahra; Rezapour, Shahram (Politechnica University of Bucharest, 2017)We study the existence and uniqueness of positive solutions for a sumtype singular fractional integrodifferential equation with mpoint boundary condition. Also, we provide an example to illustrate our main result. 
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 inequalities which hold for starlike logharmonic mappings of order alpha
Özkan Uçar, Hatice Esra; Aydoğan, Seher Melike (Eudoxus Press, LLC., 201404)Let H(D) be the linear space of all analytic functions defined on the open disc D = {z vertical bar vertical bar z vertical bar < 1}. A logharmonic mappings is a solution of the nonlinear elliptic partial differential ... 
Some properties concerning closetoconvexity of certain analytic functions
Nunokawa, Mamoru; Aydoğan, Seher Melike; Kuroki, Kazuo; Yıldız, İsmet; Owa, Shigeyoshi (Springer International Publishing AG, 2012)Let f(z) be an analytic function in the open unit disk D normalized with f(0) = 0 and f'(0) = 1. With the help of subordinations, for convex functions f(z) in D, the order of closetoconvexity for f(z) is discussed with ...