I'm kind of stuck on this problem and been working on it for days and cannot come to the conclusion of the proof.
If $f$ is entire and $z=x+iy$, prove that for all $z$ that belongs to $C$, $\left(\frac{d^2}{dx^2}+\frac{d^2}{dy^2}\right)|f(z)|^2= 4|f'(z)|^2$
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complex-analysis
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0I edited your post, make sure I did not change your question. – 2012-11-29