My Math Forum Harmonic Function problems with log|f(z)|
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 January 26th, 2017, 10:40 PM #1 Newbie   Joined: Jan 2017 From: Canada Posts: 21 Thanks: 0 Harmonic Function problems with log|f(z)| Hi guys, any help would be appreciated!! Suppose that f is analytic and nonzero in a domain D. Prove that log|f(z)| is harmonic in D. Use this to find a harmonic function φ(x,y) in the annulus {z : 1 ≤ |z| ≤ 2} such that φ = 1 on {|z| = 1} and φ = 2 on {|z| = 2}.

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### prove that log f(z) is harmonic

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