Results 1 to 3 of 3

Math Help - sum of resedue question..

  1. #1
    MHF Contributor
    Joined
    Nov 2008
    Posts
    1,401

    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
    ??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,413
    Thanks
    1853
    Quote Originally Posted by transgalactic View Post
    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!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Nov 2008
    Posts
    1,401
    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?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. area defined as variable resedue question..
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 17th 2010, 04:07 AM

Search Tags


/mathhelpforum @mathhelpforum