
Complex Analysis Complex Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
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 (n1) as exponent of (1a).


Tags 
analytic, analytic continuation, complex analysis, continuation, find 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Analytic Continuation  esavaleo8  Complex Analysis  0  August 22nd, 2016 11:34 AM 
Algorithm to compute analytic continuation  gloo  Computer Science  0  November 5th, 2014 12:17 PM 
Understanding Analytic Continuation  neelmodi  Complex Analysis  2  August 21st, 2014 03:52 PM 
Analytic continuation  honzik  Complex Analysis  6  May 11th, 2012 03:33 PM 
a problem on analytic continuation  davedave  Complex Analysis  3  January 16th, 2010 04:33 PM 