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Browsing by Author "Çilingir, Figen"

Browsing by Author "Çilingir, Figen"

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  • Checkerboard Julia sets for rational maps 
    Blanchard, Paul; Çilingir, Figen; Cuzzocreo, Daniel; Devaney, Robert L.; Look, Daniel M.; Russell, Elizabeth D. (World Scientific Publ., 2013-02)
    In this paper, we consider the family of rational maps F-lambda(z) = z(n) + lambda/z(d), where n >= 2, d >= 1, and lambda is an element of C. We consider the case where lambda lies in the main cardioid of one of ...
  • Dağılım fonksiyonlarının yinelenmis fonksiyon sistemleri ile tahmini 
    Çilingir, Figen (2014)
    Bir dağılım fonksiyonunun parametrik olmayan tahmin edicisi yinelenmis fonksiyon sistemleri kullanılarak elde edilebilmektedir. Bu yönteme göre, bir dağılım fonksiyonunun tahmin edicisi, (X1, X2,…,Xn) örneklemine bağlı ...
  • Fractals Arising From Newton'S Method 
    Çilingir, Figen (Amer Inst Physics, 2012)
    We consider the dynamics as a special class of rational functions that are obtained from Newton's method when applied to a polynomial equation. Finding solutions of these equations leads to some beautiful images in complex ...
  • On Newton's method applied to real polynomials 
    Çilingir, Figen; Jarque, Xavier (Taylor&Francis Ltd., 2012)
    It is known that if we apply Newton's method to the complex function F(z) = P(z)e(Q(z)), with deg(Q) > 2, then the immediate basin of attraction of the roots of P has finite area. In this paper, we show that under certain ...