An Application of a Subordination Chain
نویسندگان
چکیده
Let K denote the class of functions g(z) = z + a 2 z 2 + ··· which are regular and univalently convex in the unit disc E. In the present note, we prove that if f is regular in E, f (0) = 0, then for g ∈ K, f (z) + αzf (z) ≺ g(z) + αzg (z) in E implies that f (z) ≺ g(z) in E, where α > 0 is a real number and the symbol " ≺ " stands for subordination.
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