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    Cachy's Inequality

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    Let f be an entire function such that |f(z)|≤A|z| for all z, where A is a fixed positive number. Sow that f(z) = az where a is a complex constant.

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    Proof. Choose any point in the plane, denote a positively oriented circle centered at and with radius R. Let n=2, by Lemma, we have

    where denotes ...

    Solution Summary

    Cachy's Inequality is investigated. The solution is detailed and well presented.