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Homework Help: Sum of resedue question

  1. Jan 16, 2010 #1
    there is a theorem which states that
    the resedues of a point inside a certain area
    equals minus the resedues outside of the area.

    but on the other hand
    the resedue in the infinity point equals
    minus the sum of the resedues

    those two cant coexist together because
    infinity is also a point on the inside of an area
    so its not letting the first theorem to work
  2. jcsd
  3. Jan 16, 2010 #2
    The sum of all the residues (including the residue at infinity) is zero. This should be easy to prove using the definition of the residue at infinity.
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