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    Analytic Function Proofs and Real Functions

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    1) Show that the real part of the function z^(1/2) is always positive.

    2) Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.

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    analytic functions
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    1). Show that the real part of the function z^(1/2) is always positive.
    Proof. By definition, we know that

    So, the real part of the function z^(1/2) is
    ...

    Solution Summary

    There are two proofs regarding analytic functions in this solution.

    $2.49

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