Now showing items 1-15 of 15

    • An investigation on a new class of harmonic mappings 

      Yavuz Duman, Emel; Polatoğlu, Yaşar; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2013)
      In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:72-75, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ...
    • Close-to-convex functions defined by fractional operator 

      Aydoğan, Seher Melike; Kahramaner, Yasemin; Polatoğlu, Yaşar (2013)
      Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ C||z| < 1}. Consider the subclass and S∗ of S, which are the classes of convex and starlike functions, ...
    • 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 mappinggs for which co-analytic part is a close-to-convex function of order b 

      Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike (2015)
      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 ∈ C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, 2003).
    • Harmonic mappings for which co-analytic part is a close-to-convex function of order b 

      Yaşar Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 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 for which second dilatation is Janowski functions 

      Yavuz Duman, Emel; Polatoğlu, Yaşar; Kahramaner, Yasemin; Darus, Maslina (2013)
      In the present paper we extend the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h maps D onto many-sheeted region which is starlike with ...
    • Harmonic mappings related to Janowski convex functions of complex order b 

      Aydoğan, Seher Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (2013-01)
      Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ||z| < 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, 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 ...
    • Janowski harmonic close-to-convex functions 

      Turhan, N.; Kahramaner, Yasemin; Polatoğlu, Yaşar (2014-01)
      A harmonic mapping in the open unit disc D{double-struck} = {z||z| < 1} onto domain Ω* ⊂ ℂ is a complex valued harmonic function w = f(z) which maps D{double-struck} univalently Ω*. Each such mapping has a canonical ...
    • On a subclass of harmonic mappings 

      Yavuz Duman, Emel; Kahramaner, Yasemin; Polatoğlu, Yaşar (2013)
      In the present paper we extent the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h(z) maps D onto λ-spiral region and Ren e iλ ...
    • 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 Starlike Functions 

      Kahramaner, Yasemin; Polatoğlu, Yaşar (Univ Kebangsaan Malaysia, Faculty Science & Technology, Bangi, Selangor, 43600, Malaysia, 2014-12)
      Let f(z) = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(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 results of the class functions with bounded radious rotation 

      Polatoğlu, Yaşar; Kahramaner, Yasemin; Yemişci, Halime Arzu (2017)
      Let A be the family of functions f(z) = z + a2z 2 + ... which are analytic in the open unit disc D = {z : |z| < 1}, and denote by P of functions p(z) = z + p1z + p2z 2 + ... analytic in D such that p(z) is in P if and ...