Now showing items 1-20 of 25

    • 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 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 ...
    • 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
    • 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) ...
    • Mocanu-Janowski tipinde ?-konveks fonksiyonlar sınıfının incelenmesi 

      Yavuz, Emel (İstanbul Kültür Üniversitesi / Fen Bilimleri Enstitüsü / Matematik Bilgisayar Anabilim Dalı, 2006-02)
      Yalınkat fonksiyonlar 1907 yılında Koebe tarafından tanımlandıktan sonra yalınkat fonksiyonlar üzerine pek çok çalışma yapılmıştır. 1930'lu yıllarda W. Alexander ve J. Dieudonné konveks fonksiyonlar sınıfını tanımlayarak ...
    • Multivalued p-valent starlike functions 

      Çağlar, M.; Polatoğlu, Yaşar; Şen, A.; Yavuz, Emel; Owa, Shigeyoshi (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 ...
    • 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)
    • Notes on certain analytic functions 

      Yavuz, Emel; Owa, Shigeyoshi (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2019)
      Let A(n) be the class of functions f(z) = a(n)z(n) + a(n+1)z(n+1) +...(n is an element of N), which are analytic in the open unit disk U, where a(n) not equal 0. For f(z) is an element of A(n), Miller and Mocanu ...
    • On Janowski starlike functions 

      Çağlar, Mert; Polatoğlu, Yaşar; Şen, Arzu; Yavuz, Emel; Owa, S. (SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND, 2007)
      For analytic functions f(z) in the open unit disc U with f(0) = 0 and f'(0) = 1, applying the fractional calculus for f(z), a new fractional operator D-lambda f(z) is introduced. Further, a new subclass F-lambda(*)(A, B) ...
    • On Janowski starlike functions 

      Çağlar, Mert; Polatoğlu, Yaşar; Şen, A.; Yavuz, Emel; Owa, Shigeyoshi (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2007)
      For analytic functions f(z) in the open unit disc U with f(0) = 0 and f'(0) = 1, applying the fractional calculus for f(z), a new fractional operator D-lambda f(z) is introduced. Further, a new subclass F-lambda(*)(A, B) ...
    • On lambda-fractional convex functions 

      Polatoğlu, Yaşar; Yavuz, Emel; Owa, Shigeyoshi (2007)
    • On some alpha-convex functions 

      Owa, Shigeyoshi; Polatoğlu, Yaşar; Yavuz, Emel; Acu, Mugur; Al-Oboudi, Fatima; Darus, Maslina (2008-06)
      In this paper, we define a general class of α-convex functions, denoted by MLβ,α(q), with respect to a convex domain D (q(z) ∈ Hu(U), q(0) = 1 , q(U) = D) contained in the right half plane by using the linear operator ...
    • On some first-order differential subordination 

      Yavuz, Emel; Nunokawa, M.; Sokół, J.; Cho, N.E.; Owa, S. (2014-07)
      Let denote the class of functions f that are analytic in the unit disc and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that in . We determine conditions for α and β under ...