Two-point Distortion Theorems for Certain Families of Analytic Functions in the Unit Disc
نویسنده
چکیده
We give two-point distortion theorems for various subfamilies of analytic univalent functions. We also find the necessary and sufficient condition for these subclasses of analytic functions. 1. Introduction. Let Ω be the family of functions ω(z) regular in the unit disc D = {z | |z| < 1} and satisfying the conditions ω(0) = 0, |ω(z)| < 1 for z ∈ D. For arbitrary fixed numbers A, B, −1 ≤ B < A ≤ 1, denote by P (A,B) the family of functions
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تاریخ انتشار 2002