Re: computing residues

*To*: mathgroup at smc.vnet.net*Subject*: [mg54792] Re: computing residues*From*: "Kevin J. McCann" <kjm at KevinMcCann.com>*Date*: Wed, 2 Mar 2005 01:26:39 -0500 (EST)*References*: <d015d6$p16$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

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. Kevin 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? > > MJM > __________ > www.newmail.ru -- óçåë ñâîáîäíûõ êîììóíèêàöèé. >