Now showing items 1-20 of 20

    • 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 ...
    • An investigation on a subclass of p-valently starlike functions in the unit disc 

      Polatoğlu, Yaşar; Bolcal, A.; Şen, A.; Yavuz, Emel (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2007)
      Let A(p) denote the class of functions of the form f(z) = z(p) +a(p+1)z(p+1)+a(p+2)z(p+2) +... which are regular and p-valent in the open unit disc D = {z : vertical bar z vertical bar < 1}. Let M-p(alpha) be the subclass ...
    • Distortion Theorem and Koebe Domain for Starlike Functions of Complex Order 

      Polatoğlu, Yaşar; Bolcal, Metin (İstanbul Kültür Üniversitesi Yayınları, 2002-04)
      The aim of this paper is to give distorion theorem and Koebe domain for the class of starlike functaions of complex order under the conditions. |b|≤ (Re(1/b) -|Z| Re(1/b) -2|Z|²)/(2⎹z[Re(1/b)+( 2-Re(1/b) ...
    • 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 ...
    • lambda-fractional close-to-convex functions 

      Polatoğlu, Yaşar; Yavuz, Emel (International Symposium on Geometric Function Theory and Applications, 2007, Istanbul Kültür University, Istanbul, Turkey, 2007)
    • Lambda-fractional properties of generalized Janowski functions in the unit disc 

      Çağlar, Mert; Polatoğlu, Yaşar; Yavuz, Emel (2008)
      For analytic function f(z) = z + a2z 2 + · · · in the open unit disc D, a new fractional operator Dλf(z) is defined. Applying this fractional operator Dλf(z) and the principle of subordination, we give new proofs for ...
    • Multivalued starlike functions of complex order 

      Polatoğlu, Yaşar; Yavuz, Emel; Çağlar, Mert; Owa, Shigeyoshi (2008)
      Let S ∗ λ (1−b)(b 6= 0, complex) denote the class of functions f(z) = z+a2z 2+· · · analytic in the open unit disc D = {z ∈ C||z| < 1} which satisfy for z = reiθ ∈ D, f(z) z 6= 0 and Re · 1 + 1 b µ z (Dλ f ...
    • q-Starlike Functions of Order Alpha 

      Polatoğlu, Yaşar; Uçar, Faruk; Yılmaz, Bülent (Turkic World Mathematical Soc, Z Khalilov Str, 23, Baku, Az 1148, Azerbaijan, 2018)
      For all q is an element of (0, 1) and 0 <= alpha < 1 we define a class of analytic functions, so-called q-starlike functions of order alpha on the open unit disc D = {z : vertical bar z vertical bar < 1}. We will study ...
    • 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 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 distortion theorems for starlike log-harmonic functions 

      Yavuz Duman, Emel (International Short Joint Research Workshop, Applications of Convolutions in Geometric Function Theory, 2011, Research Institute for Mathematical Sciences, Kyoto University (RIMS), Kyoto, Japan, RIMS Kokyuroku, 2011-12)
    • 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 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*, ...
    • λ-fractional properties of generalized Janowski functions in the unit disc 

      Çağlar, Mert; Polatoğlu, Yaşar; Yavuz, Emel (2008)
      For analytic function f(z) = z + a2z 2 + · · · in the open unit disc D, a new fractional operator Dλf(z) is defined. Applying this fractional operator Dλf(z) and the principle of subordination, we give new proofs for ...