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An analytic function f in the unit disk D := {z ∈ C : |z| < 1}, standardly normalized, is called close-to-convex with respect to the Koebe function k(z) := z/(1-z)2, z ∈ D, if there exists δ∈(-π/2, π/2) such that Re eiδ(1- z)2f′(z) > 0, z ∈ D.For th