Now showing items 1-14 of 14

    • A Coefficient Inequality for Convex Functions 

      Polatoğlu, Yaşar (İstanbul Kültür Üniversitesi Yayınları, 2002-04)
      Biz bu makalede ' A characterization for convex functions of complex order (Ist. Üniv. Fen Fak. Matematik Dergisi cilt 54 sayfa 175-170, 1997) adlı makalenin çok önemli bir neticesi olan katsayı eşitsizliğini veririz.
    • 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 ...
    • 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 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 univalent functions with Janowski starlike analytic part 

      Yavuz, Emel (International Short Joint Research Workshop, Study on Non-Analytic and Univalent Functions and Applications, 2008, Research Institute for Mathematical Sciences, Kyoto University (RIMS), Kyoto, Japan, 2008)
    • 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)
    • 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 ...
    • 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 ...
    • 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 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 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 Results of the Carathedory's Class 

      Polatoğlu, Yaşar; Bolcal, Metin; Şen, Arzu (İstanbul Kültür Üniversitesi Yayınları, 2002-04)
      Bu çalışmada caratheodory sınıfı üzerine bazı sonuçları araştırırız. f(z)=1+p₁z+p₂z²+p₃z³+… fonksiyonu birim dairede analitik olsun ve f(0)=1,Re f(z)≥0, koşullarını gerçeklesin bu durumda f(z) fonksiyonu Caratheodory ...
    • Some results on a subclass of p-valent starlike functions 

      Polatoğlu, Yaşar; Yavuz, Emel (International Symposium on New Development of Geometric Function Theory and Its Applications, GFTA 2008, Universiti Kebangsaan Malaysia, Kuala Lumpur, Malaysia, 2008)