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Math Help - residues of rational functions

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    residues of rational functions

    The residues of rational functions are highly symmetric in order to cause precise cancellation. Verify this fact by computing explicitly the residues of functions of the form

    f(z) = 1 / (z-a)(z-b)(z-c)

    where a, b, c are all distinct and showing that the sum of the residues is zero.
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    Quote Originally Posted by altanl View Post
    The residues of rational functions are highly symmetric in order to cause precise cancellation. Verify this fact by computing explicitly the residues of functions of the form

    f(z) = 1 / (z-a)(z-b)(z-c)

    where a, b, c are all distinct and showing that the sum of the residues is zero.
    In each case the singularities are simple poles and there is a simple formula for calculatiing the residue of a simple pole. Go to your class notes or textbook, review the formula and apply it.
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    thank you
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