January 5th, 2014, 04:13 AM  #1 
Newbie Joined: Jan 2014 Posts: 2 Thanks: 0  analytic extension
Show that there is no analytic extension of on 
January 26th, 2014, 01:44 PM  #2 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: analytic extension
Assume that is analytic on the domain then it's derivative must be also analytic on the same domain which implies that any closed curve around the origin must vanish. Since , we get a contradiction.


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