calculus of residues

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.
References in periodicals archive ?
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.
He uses the calculus of residues, properties of the Gamma function including an asymptotic formula, a functional equation, and a special integral; also analytic continuation, a special Mellin transform, one of the Phragmen-Lindelof principles and two representations of the Zeta function.
The Riemann Zeta function and the sampling theorem
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