Hello, I'm trying to find residues for f(z) = . A binomial expansion of the numerator gives- And so the coefficient of is obtained when , Giving a residue: My question is: what happens when n is an odd number?
Last edited by dudyu; May 16th 2011 at 03:04 AM. Reason: typo
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Originally Posted by dudyu Hello, I'm trying to find residues for f(z) = . A binomial expansion of the numerator gives- And so the coefficient of is obtained when , Giving a residue: My question is: what happens when n is an odd number? Is there a typo in the question? It looks as though the numerator should be , not . If so, then in the case where n is odd there will be no 1/z term in the expansion, so the residue will be 0.
Originally Posted by Opalg Is there a typo in the question? It looks as though the numerator should be , not . If so, then in the case where n is odd there will be no 1/z term in the expansion, so the residue will be 0. Yes, there was a typo. thank you!
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