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calculus of residues

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calculus of residues [′kal·kyə·ləs əv ′rez·ə‚düz]
(mathematics)
The application of the Cauchy residue theorem and related theorems to compute the residues of a meromorphic function at simple poles, evaluate contour integrals, expand meromorphic functions in series, and carry out related calculations.


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He evaluates it in two different ways: one is by the calculus of residues, the other by evaluating the integral along the four sides of the rectangle.
 
 
 
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