Section 8.1 The Residue Theorem - Maple Application Center
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Section 8.1 The Residue Theorem

: Dr. John Mathews
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The Cauchy-integral formulas in Section 6.5 are useful in evaluating contour integrals over a simple closed contour C; where the integrand has the form f(z)/((z-z[0])^k); and f; is an analytic function. In this case, the singularity of the integrand is at worst a pole of order k at z[0]. In this section we extend this result to integrals that have a finite number of isolated singularities and lie inside the contour C. This new method can be used in cases where the integrand has an essential singularity at z[0] and is an important extension of the previous method.

Application Details

Publish Date: October 01, 2003
Created In: Maple V
Language: English



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