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MathGroup Archive 2005

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Re: computing residues

  • To: mathgroup at
  • Subject: [mg54792] Re: computing residues
  • From: "Kevin J. McCann" <kjm at>
  • Date: Wed, 2 Mar 2005 01:26:39 -0500 (EST)
  • References: <d015d6$p16$>
  • Sender: owner-wri-mathgroup at

I too am surprised that Mathematica gave you such a definite answer. The residue 
of 1/Sin[z] at zero is +1 and at z=n Pi is (-1)^n; zero elsewhere. 
Perhaps the rule used is that for "most" of the complex plane the 
residue is zero.


mjumbo wrote:
> Hello,
> I would like to compute residues of analytical function, but Mathematica's built-in function Residue produces extremely strange results. E.g.
> Residue[1/Sin[z], {z, w}]
> gives 0, I expected it produce some conditional expression, or at least to leave this expression unevaluated, but 0 is surely incorrect. 
> What I am doing wrong?
> __________
> -- óçåë ñâîáîäíûõ êîììóíèêàöèé.

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