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January 5th, 2014, 04:13 AM   #1
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analytic extension

Show that there is no analytic extension of on
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January 26th, 2014, 01:44 PM   #2
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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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