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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Hey Eleni. What are the conditions for harmonic? Is it just using the Laplace definition?
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
You will probably have to use the Cauchy Riemann equations to prove this.
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