Now showing items 1-10 of 10

    • An investigation of the certain class of multivalent harmonic mappings 

      Polatoğlu, Yaşar; Özkan Uçar, Hatice Esra; Aydoğan, Seher Melike (2016)
      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}.
    • 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 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 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 ...
    • Notes on Starlike log-Harmonic Functions of Order alpha 

      Aydoğan, Seher Melike; Yavuz Duman, Emel; Owa, Shigeyoshi (2013)
      For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H∗ LH(α) and G∗ LH (α) of S∗ LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object ...
    • Some properties of q- convex functions of complex order 

      Polatoğlu, Yaşar; Aydoğan, Seher Melike; Mert, Oya (2016)
    • Some Properties of q-Convex Functions of Complex Order 

      Polatoğlu, Yaşar; Aydoğan, Seher Melike; Mert, Oya (2017)
      Let A be the family of functions f(z) which are regular in the open unit disc D = {z : |z| < 1} and satisfy the conditions f(0) = 0, f 0 (0) = 1 for every z ∈ D and let f(z) be an element of A, if f(z) satisfies the ...
    • Some properties of starlike harmonic mappings 

      Aydoğan, Seher Melike; Yemişçi, Halime Arzu; Polatoğlu, Yaşar (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 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*, ...
    • Taxicab geometri 

      Aydoğan, Seher Melike (İstanbul Kültür Üniversitesi / Fen Bilimleri Enstitüsü / Matematik Bilgisayar Anabilim Dalı, 2006-06)