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Residues in Mathematica


I am trying to use Mathematica to calculate the 
residue of somthing of the form 
(cos W - cos(x-w))^n where n =2, 3, 4.
It seems that the Residue command can only handle
simple poles.  Are there any more sophisticated
packages that will calculate definite integrals
of more complicated arguments?  
Thanks
 
 Stephan Siegemund-Broka
 Department of Physics and Astronomy
 Univeristy of Oklahoma







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