Abstract

Sharp coefficient inequalities are given for f normalised and analytic in z ? D = {z : |z| < 1}, and satisfying |arg (zf'(z)/f(z)-? < ??/2 (z ? D) for ? ? [0,1) and ? ?(0,1]. The results generalise and unify known inequalities for starlike functions in a half-plane, and strongly starlike functions.

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