Toplam kayıt 42, listelenen: 1-20

    • A Certain Class of Harmonic Mappings Related to Functions of Bounded Boundary Rotation 

      Polatoğlu, Yaşar; Yavuz Duman, Emel; Aydoğan, Melike (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2014-05)
      Let V(k) be the class of functions with bounded boundary rotation and let S-H be the class of sense-preserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the ...
    • A Remark on multivalently convex and starlike functions 

      Nunokawa, Mamoru; Owa, Shigeyoshi; Polatoğlu, Yaşar; Yavuz Duman, Emel (2007-01)
      Applying the result for certain analytic functions due to M. Nunokawa [Proc. Japan Acad. 68A, 152–153 (1992; Zbl 0773.30020)], some properties for multivalently convex and starlike functions ar discussed.
    • A study on the generalization of Janowski functions in the unit disc 

      Polatoğlu, Yaşar; Yavuz, Emel; Bolcal, Metin; Şen, A. (2006-01)
      Let › be the class of functions w(z), w(0) = 0, |w(z)| < 1 regular in the unit disc D = {z : |z| < 1}. For arbitrarily fixed numbers A 2 (¡1,1), B 2 (¡1,A), 0 • fi < 1 let P(A,B,fi) be the class of regular functions p(z) ...
    • 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 ...
    • Coefficient inequalities for classes of uniformly starlike and convex functions 

      Owa, Shigeyoshi; Polatoğlu, Yaşar; Yavuz, Emel (2006-01)
      In view of classes of uniformly starlike and convex functions in the open unit discUwhich was considered by S. Shams, S.R. Kulkarni and J.M. Jahangiri, some coefficient in-equalities for functions are discussed
    • Distortion estimate and radius of starlikeness for generalized p-valent close-to-star functions 

      Özkan, H. Esra; Yavuz Duman, Emel (HIKARI, 2013)
      Let A(p, n), n ≥ 1, p ≥ 1 be the class of all analytic functions in the open unit disc D = {z| |z| < 1} of the form f(z) = zp + anp+1znp+1 + anp+2znp+2 + ··· . Let g(z) be an element of A(p, n) such that g(z) satisfies ...
    • Distortion properties of perturbed m-valent Janowski Starlike log-harmonic functions 

      Polatoğlu, Yaşar; Özkan, H. Esra; Yavuz Duman, Emel (International Conference on Theory and Applications of Mathematics and Informatics, ICTAMI, 2009)
    • 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.
    • Growth theorems for perturbated starlike log-harmonic mappings of complex order 

      Polatoğlu, Yaşar; Yavuz Duman, Emel; Özkan, H. Esra (2009)
      Let H(D) be the linear space of all analytic functions defined on the open unit disc D = {z ∈ C : |z| < 1}. A sense-preserving logharmonic mapping is the solution of the non-linear elliptic partial differential equation ...
    • 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)
    • 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 ...
    • Linner İntegral Denklemler İçin Bazı Çözüm Yöntemleri 

      Daymaz, Tuğba (İstanbul Kültür Üniversitesi / Fen Bilimleri Enstitüsü / Matematik Bilgisayar Anabilim Dalı, 2018)
      İntegral denklemler bilinmeyen fonksiyonun integral işareti altında yer aldığı lineer veya lineer olmayan denklemlerdir. Bu tip denklemler uygulamalı matematik ve fizik alanlarında sıklıkla kullanılmaktadır. Başlangıç değer ...
    • Marx-Strohhacker inequality for Mocanu-Janowski alpha-convex functions 

      Polatoğlu, Yaşar; Yavuz, Emel (2007)
      Let be the class of functions w(z) regular in the unit disc D = {z : |z| < 1} with w(0) = 0, and |w(z)| < 1. For arbitrarily fixed real numbers A 2 ( 1,1) and B 2 ( 1,A), let P(A, B) be the class of regular functions p(z) ...
    • 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 ...
    • Multivalued starlike functions of complex order 

      Polatoğlu, Yaşar; Çağlar, Mert; Owa, Shigeyoshi; Yavuz, Emel; Şen, Arzu (2008)
      Let Aα be the class of functions f(z) = z α (z + a2z 2 + · · ·) which are analytic in the open unit disc U. For f(z) ∈ Aα using the fractional calculus, a subclass S ∗ α (1−b) which is the class of starlike functions ...
    • New characterization of the class of starlike functions 

      Yavuz, Emel; Polatoğlu, Yaşar; Owa, Shigeyoshi (The Korean Mathematical Society, 2008)
      For analytic functions f(z) in the open unit disc D, an operator Nα(f(z)) relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator Nα(f(z)).
    • New results of the generalization of Sakaguchi functions 

      Polatoğlu, Yaşar; Yavuz, Emel (2009)