Browsing by Subject "growth theorem"

Now showing items 1-9 of 9

    • Growth and distortion theorems for multivalent Janowski close-to-convex harmonic functions with shear construction method 

      Polatoğlu, Yaşar; Yavuz Duman, Emel; Ozkan, Hatice Esra (Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvarı No 221, Kavaklıdere, Tr-06100 Ankara, Turkey, 2013)
      In this paper we introduce the class of m-valent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class. Our study is based on the harmonic shear methods for harmonic 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 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 ...

    • 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 ...

    • Some distortion theorems for starlike harmonic functions 

      Yavuz Duman, Emel (2010)
      In this paper , we consider harmonic univalent mappings of the form f = h + ¯g defined on the unit disk D which are starlike. Distortion and growth theorems are obtained.

    • Some properties of q- close-to-convex functions 

      Uçar, H. Esra Ozkan; Mert, Oya (Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey, 2017-12)
      Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum ...

    • Some properties of q- close-to-convex functions 

      Özkan Uçar, Hatice Esra; Mert, Oya; Polatoğlu, Yaşar (2017)
      Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum ...

    • 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*, ...