sum of resedue question..

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• Jan 16th 2010, 01:18 AM
transgalactic
sum of resedue question..
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
??
• Jan 16th 2010, 04:24 AM
HallsofIvy
Quote:

Originally Posted by transgalactic
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
??

No, the point at infinity is not inside any area!
• Jan 16th 2010, 04:31 AM
transgalactic
ok so why when we say that the resedue from point inside equals minus
the points out side
we dont count the resedue from the point at infinity?