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Math Help - complex analysis

  1. #1
    Junior Member
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    Apr 2010
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    58

    complex analysis

    Help me please to prove this one:


    Let us f(z)\;  and \; z^{5}\ \overline{f}(z) both are entire functions.
    Prove that f(z) is constant function necessarily.

    Thanks
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  2. #2
    Member Mauritzvdworm's Avatar
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    The only way I can see this happening is to show that f is bounded, the result then follows from Liouville's theorem
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