Now showing items 1-17 of 17

  • Bounded harmonic mappings related to starlike functions 

    Varol, Dürdane; Aydoğan, Seher Melike; Polatoğlu, Yaşar (AMER INST PHYSICS, 2014)
    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 ...
  • A Certain Class of Harmonic Mappings Related to Functions of Bounded Boundary Rotation 

    Polatoğlu, Yaşar; Yavuz Duman, Emel; Aydoğan, Seher Melike (EUDOXUS PRESS, 2014-05)
    Let V(k) be the class of functions with bounded boundary rotation and let S-H be the class of sense-preserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the ...
  • A certain class of starlike log-harmonic mappings 

    Aydoğan, Seher Melike; Polatoğlu, Yaşar (ELSEVIER SCIENCE BV, 2014-11)
    In this paper we investigate some properties of log-harmonic starlike mappings. For this aim we use the subordination principle or Lindelof Principle (Lewandowski (1961) [71).
  • Harmonic function for which the second dilatation is alpha-spiral 

    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 alpha-spiral.
  • Harmonic mappings for which co-analytic part is a close-to-convex function of order b 

    Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike (SPRINGER INTERNATIONAL PUBLISHING AG, 2015-01-16)
    In 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} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, ...
  • Harmonic mappings related to Janowski starlike functions 

    Kahramaner, Yasemin; Polatoğlu, Yaşar; Aydoğan, Seher Melike (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 mappings related to the m-fold starlike functions 

    Aydoğan, Seher Melike; Polatoplu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 2015-09-15)
    In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold 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, 2016-03)
    The main purpose of the present paper is to investigate some properties of the certain class of sense-preserving p-valent 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 alpha - spiral 

    Aydoğan, Seher Melike (EUDOXUS PRESS, 2015-06)
    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 S-HPST*(alpha, beta) We ...
  • 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, 2015-09-15)
    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 sum-type singular fractional integro-differential equation with m-point boundary conditions 

    Aydoğan, Seher Melike; Nazemi, Sayyedeh Zahra; Rezapour, Sh H. (Politechnica University of Bucharest, 2017)
    We study the existence and uniqueness of positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary condition. Also, we provide an example to illustrate our main result.
  • Quasiconformal harmonic mappings related to Janowski alpha-spirallike functions 

    Aydoğan, Seher Melike; Polatoğlu, Yaşar (AMER INST PHYSICS, 2014)
    Let f = h(z) + g(z) be a univalent sense-preserving 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, 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 = ...
  • Some inequalities which hold for starlike log-harmonic mappings of order alpha 

    Özkan Uçar, Hatice Esra; Aydoğan, Seher Melike (Eudoxus Press, LLC., 2014-04)
    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 log-harmonic mappings is a solution of the nonlinear elliptic partial differential ...
  • Some properties concerning close-to-convexity 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 close-to-convexity for f(z) is discussed with ...
  • 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 ...
  • Some results on a starlike log-harmonic mapping of order alpha 

    Aydoğan, Seher Melike (ELSEVIER SCIENCE BV, 2014-01-15)
    Let H(D) be the linear space of all analytic functions defined on the open unit disc D = z is an element of C : vertical bar z vertical bar < 1. A sense preserving log-harmonic mapping is the solution of the non-linear ...