Difference between revisions of "Cauchy's residue theorem"
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The [[path integral]] of a holomorphic function '''f''' around the [[boundry]] of a simple region '''D''' is equal to the sum of [[complex residue]]s of '''f''' in the interior of '''D'''. | The [[path integral]] of a holomorphic function '''f''' around the [[boundry]] of a simple region '''D''' is equal to the sum of [[complex residue]]s of '''f''' in the interior of '''D'''. | ||
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Revision as of 02:15, April 14, 2007
Cauchy's residue theorem states:
The path integral of a holomorphic function f around the boundry of a simple region D is equal to the sum of complex residues of f in the interior of D.