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January 26th, 2017, 11:40 PM  #1 
Newbie Joined: Jan 2017 From: Canada Posts: 20 Thanks: 0  Harmonic Function problems with logf(z)
Hi guys, any help would be appreciated!! Suppose that f is analytic and nonzero in a domain D. Prove that logf(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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