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residue theorem

   Also found in: Wikipedia 0.01 sec.
residue theorem [′rez·ə‚dü ‚thir·əm]
(mathematics)
The value of the integral of a complex function, taken along a simple closed curve enclosing at most a finite number of isolated singularities, is given by 2πitimes the sum of the residues of the function at each of the singularities.


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Using again the kernel (13), we have by the residue theorem [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
] when combined with the residue theorem, implies [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
 
 
 
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