My Math Forum Find an analytic continuation

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 September 17th, 2016, 05:58 PM #1 Newbie   Joined: Sep 2016 From: Australia Posts: 1 Thanks: 0 Find an analytic continuation Analytic continuation.jpg So, All I have so far is the expansion of the series at the point z = a but I'm unsure how this tells me which values of a will give me an analytic continuation for f(z) outside of the unit disk. I understand a to be the center of convergence, so to me it makes sense that a cannot be 0 or we would just have our initial f(z).
 September 18th, 2016, 07:11 AM #2 Senior Member   Joined: Aug 2016 From: morocco Posts: 273 Thanks: 32 In the end of the attached picture, there must be a (n+1) instead of (n-1) as exponent of (1-a).

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