Mathematics · Complex Analysis

Let &mathbb{D} = {z ∈ &complex; : |z| < 1} be the open unit disc and let f : &mathbb{D} → &mathbb{D} be a holomorphic function. Suppose that f(0) = 0 and f'(0) = 0. Which of the following is a possible value of f(1/2)?

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Let &mathbb{D} = {z &isin; &complex; : |z| < 1} be the open unit disc and let f : &mathbb{D} &rarr; &mathbb{D} be a holomorphic function. Suppose that f(0) = 0 and f'(0) = 0. Which of the following is a possible value of f(1/2)?