Prove that If f: DD is holomorphic and f(1/2) = 0, then f(0)| 1/2. (ii)...

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Prove that If f: D→D is holomorphic and f(1/2) = 0, then f(0)| ≤ 1/2. (ii) Give a complete statement of the maximum modulus theorem that you use in part (i). Prove that If f: D→D is holomorphic and f(1/2) = 0, then f(0)| ≤ 1/2. (ii) Give a complete statement of the maximum modulus theorem that you use in part (i).

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