Some Radius Properties for a Class of Alpha-Close-To-Convex Functions

摘要

In this paper, the concentration is on the class of α - close-to-convex functions, G_k (α,δ) where functions f, analytic and univalent in the open unit disc E in this class satisfy the condition , with |α| ≤ π, cos α> δ,and g'(z) =1/1-z. We find the bounds for f(z)/z and f'(z) and obtain results for the radius of univalence and the radius of starlikeness for the class G_k (a,δ).