Eğitim Bilimleri Enstitüsü / Education

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    Neighborhoods of Analytic Functions Associated with Fractional Derivative
    (2016) Altintas, Osman
    In this paper we define a differential operator and introduce the subclasses F-n,p(q) (lambda, alpha, delta) and K-n,p(q) (lambda, alpha, delta, mu) of functions which are analytic and p-valent in the open unit disk. Also we derive coefficient bounds, distortion inequalities, associated inclusion relation for (n, epsilon)-neighborhoods of the classes, which are defined by means of a certain non-homogeneous differential equation.