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= Suppose f(z) is analytic for |z| < 3. If |(z)| 1, and (i) (1) = 0, what is the maximum value of |f(0)|?

= Suppose f(z) is analytic for |z| < 3. If |(z)| 1, and (i) (1) = 0, what is the maximum value of |f(0)|? For which func- tions is the maximum attained?

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