Now showing items 1-10 of 10

    • A Certain Class of Harmonic Mappings Related to Functions of Bounded Boundary Rotation 

      Polatoğlu, Yaşar; Yavuz Duman, Emel; Aydoğan, Melike (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 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, Melike; Polatoğlu, Yaşar (Elsevier Science Bv, Po Box 211, 1000 Ae Amsterdam, Netherlands, 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). (C) 2014 Elsevier B.V. All rights reserved.
    • Harmonic Function For Which The Second Dilatation is Alpha-Spiral 

      Duman Yavuz, Emel; Aydoğan, Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 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 starlike functions 

      Kahramaner, Yasemin; Polatoğlu, Yaşar; Aydoğan, Melike (Elsevier Science Bv, Po Box 211, 1000 Ae Amsterdam, Netherlands, 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, Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 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 ...
    • On the class of harmonic mappings which is related to the class of bounded boundary rotation 

      Polatoğlu, Yaşar; Aydoğan, Melike; Kahramaner, Yasemin (Elsevier Science Inc, 360 Park Ave South, New York, Ny 10010-1710 Usa, 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 ...
    • Quasiconformal Harmonic Mappings Related to Janowski Alpha-Spirallike Functions 

      Polatoğlu, Yaşar; Aydoğan, Melike (Amer Inst Physics, 2 Huntington Quadrangle, Ste 1No1, Melville, Ny 11747-4501 Usa, 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; Yavuz Duman, Emel; Kahramaner, Yasemin; Aydoğan, Melike (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 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, Hatice Esra; Aydoğan, Melike (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 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 Of Analytic Functions Relating To The Miller And Mocanu Result 

      Yavuz Duman, Emel; Nunokawa, Mamoru; Owa, Shigeyoshi; Aydoğan, Melike (Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2011-03)
      Let P(alpha) be the class of analytic functions p(z) in the open unit disc U with p(0) = 1 and |arg p(z)| < pi/2 alpha (z is an element of U) for some real alpha > 0. The object of the present paper is to discuss some ...