residue theorem

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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 2π i times the sum of the residues of the function at each of the singularities.
References in periodicals archive ?
Their topics include complex numbers, analytic and harmonic functions, complex integration, residue theory, conformal mapping, and Fourier series and the Laplace transform.