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Laurent series expansion

by Eldonbetan
Tags: expansion, laurent, series
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Eldonbetan
#1
Apr14-10, 08:47 AM
P: 2
[b]1. I am trying to calculate the laurent series expansion of the function 1/(1-z) in the region 1<|z|


[b]2. None


[b]3. I can get an answer informally by doing the polynomial division like in high school, but I don't know if this is the right answer and in case it is I cannot prove it. Any help would be largely appreciated.
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hgfalling
#2
Apr14-10, 12:22 PM
P: 351
Recall that if a function is analytic on a domain, then its Laurent series and Taylor series are identical. Do you know how to do the Taylor series expansion?


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