Suppose ƒ(z) = Σo anz" is entire, and that |ƒ(z)| ≤ (|²| + 1)² for all z. Prove that ƒ is a 2=0 polynomial.

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answerhappygod
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Suppose ƒ(z) = Σo anz" is entire, and that |ƒ(z)| ≤ (|²| + 1)² for all z. Prove that ƒ is a 2=0 polynomial.

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Suppose ƒ(z) = Σo anz" is entire, and that |ƒ(z)| ≤ (|²| + 1)² for all z. Prove that ƒ is a 2=0 polynomial.
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