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Topic: Elementary complex analysis
Replies: 19   Last Post: Mar 9, 2013 11:35 AM

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Posts: 29
Registered: 4/19/11
Re: Elementary complex analysis
Posted: Mar 8, 2013 4:00 PM
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Another proof: Let f(z) = sum(n=0,oo) a_nz^n. Then f(1/z) =
sum(n=0,oo) a_n/z^n. Now f(1/z) -> oo as z -> 0. Hence by
Casatori-Weierstrass, f(1/z) has a pole at 0. Thus f(1/z) = sum(n=0,N)
a_n/z^n => f(z) = sum(n=0,N) a_nz^n.

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