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

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 W^3 Posts: 29 Registered: 4/19/11
Re: Elementary complex analysis
Posted: Mar 8, 2013 4:00 PM

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.

Date Subject Author
3/5/13 Paul
3/5/13 bacle
3/5/13 W^3
3/5/13 Scott Berg
3/5/13 J. Antonio Perez M.
3/6/13 Scott Berg
3/6/13 Frederick Williams
3/6/13 Robin Chapman
3/6/13 David C. Ullrich
3/6/13 Paul
3/7/13 AP
3/7/13 David C. Ullrich
3/7/13 William Hughes
3/8/13 quasi
3/8/13 William Hughes
3/8/13 quasi
3/8/13 AP
3/8/13 David C. Ullrich
3/8/13 W^3
3/9/13 David C. Ullrich