Mathematics · Complex Analysis

Let &DoubleDoubleStruckCapitalD; ⊂ &DoubleDoubleStruckCapitalC; be the open unit disc. Consider the family &Fopf; of all holomorphic maps f : &DoubleDoubleStruckCapitalD; → &DoubleDoubleStruckCapitalD; such that f(0) = 1 2 . For f &in; &Fopf;, which of the following is a possible value of |f'(0)|?

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