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If f(z) is analytic in a closed curve C except at a finite number of singular points within C, then Description: 447.png× (sum of the residues at the singular points within C).
  1. If f(z) has a simple pole at z = a, then Res f(a) = Description: 452.png.
  2. If f(z) has a pole of order n at z = a, thenDescription: 457.png

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