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On the order of strongly starlikeness of strongly convex functions

On the order of strongly starlikeness of strongly convex functions

1. Introduction.Let A denote the set of functions f(z) z 4-= 2 a,z n that are analytic in E {z:l z < 1}.A function f(z) A is called strong- ly starlike of order/9, 0 < fl _ 1, if larg(zf'(z)/f(z)) < rcfl/2 in E.