Question: Let f:CC be a holomorphic function. Assume there is a r 0 > 0 such that |f(z)| | z | 2 for | z |

Let f:CC be a holomorphic function. Assume there is a r0 > 0 such that

|f(z)| | z |2

for | z | > r0.

(i) Show that f(3)(z) = 0 for all z C.

(ii) Show that f is a quadratic polynomial.

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