Cauchy residue theorem
Let be a simply connected domain, and suppose is a complex valued function which is defined and analytic on all but finitely many points of . Let be a closed curve in which does not intersect any of the . Then
The Cauchy residue theorem generalizes both the Cauchy integral theorem (because analytic functions have no poles) and the Cauchy integral formula (because for analytic has exactly one pole at with residue .
|Title||Cauchy residue theorem|
|Date of creation||2013-03-22 12:04:58|
|Last modified on||2013-03-22 12:04:58|
|Last modified by||djao (24)|
|Synonym||Cauchy residue formula|