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# Complex Proof : Analytic Functions

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Let f be an entire function such that |f(z)| &#8804; A|z| for all z in C for some fixed positive real number A. Use the attached theorem to show that f(z) = mz for some complex number m.

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Problem:
Let f be an entire function such that |f(z)| â‰¤ A|z| for all z in C for some fixed positive real number A. Use the following theorem to show that f(z) = mz for some complex number ...

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A complex proof is provided. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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