# Complex Proof : Analytic Functions

Let f be an entire function such that |f(z)| ≤ 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)| ≤ 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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