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Math Help - Proof a complex function is harmonic

  1. #1
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    Proof a complex function is harmonic

    hi guys!
    i have problem proving this :
    "f(z) is holomorphic on D (which does not contain 0).
    prove that g(z)=ln|f(z)| is harmonic on D."
    Note that D is a subset of C.
    any ideas?
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  2. #2
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    Re: Proof a complex function is harmonic

    Hey Eleni.

    What are the conditions for harmonic? Is it just using the Laplace definition?
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  3. #3
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    Re: Proof a complex function is harmonic

    Yea laplace and also when f(z)=u(x,y)+w(x,y)i is holomorphic then u, w are harmonic. Dont know if it helps but thats all i know
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  4. #4
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    Re: Proof a complex function is harmonic

    You will probably have to use the Cauchy Riemann equations to prove this.
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