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    Analytic Functions : Constancy

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    7. Let a function f (z) be a analytic in a domain D. Prove that f (z) must be constant throughout D if

    (a) f (z) is real-valued for all z in D

    (b) | f (z) | is constant throughout D.

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    7. Let a function f (z) be a analytic in a domain D. Prove that f (z) must be constant throughout D if

    (a) f (z) is real-valued for all z in D
    Denote where u(x,y) and v(x,y) are real ...

    Solution Summary

    The constancy of analytic functions is investigated. The solution is detailed and well presented.

    $2.19

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