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We discuss the sharpness of the bound of the Fekete-Szego functional for close-to-convex functions with respect to convex functions. We also briefly consider other related developments involving the Fekete-Szego functional |a3? ? a22| (0? ? ? 1) as well as the corresponding Hankel determinant for the Taylor-Maclaurin coefficients ann? N\1 of normalized univalent functions in the open unit disk D, N being the set of positive integers.
Kowalczyk et al. (Sun,) studied this question.