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August 22nd, 2016, 11:34 AM  #1 
Newbie Joined: Aug 2016 From: Washington Posts: 1 Thanks: 0  Analytic Continuation
Any guidance with this problem would be much appreciated: Let f(z) be an analytic function defined in a disk z<r. Show that the functional equation f(2z)=f(z)f'(z) satisfied on z<r/2 implies that f(z) is an entire function. 

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analytic, analytic continuation, continuation 
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