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The Radius of Close-to-Convexity of Functions of Bounded Boundary Rotation
An analytic function whose boundarv rotation is bounded by k-n (k^.2) is shown to map a disc of radius rt onto a close-to-convex domain, where rk is the solution of a transcendental equation when k>4 and rk = \ when 2^/t^4.The above value of rk is shown to be the …