Calculus of Residues

Abstract: One of the most powerful tools made available by complex analysis is the theory of residues, which makes possible the routine evaluation of certain real definite integrals that are impossible to calculate otherwise. Example 20.2.6 in Complex Series shows a situation in which an integral was related to expansion coefficients of Laurent series. Here we will develop a systematic way of evaluating both real and complex integrals using the same idea.
(The paper)

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