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Cauchy’s Residue Theorem

2011
In this lecture, we shall use Laurent’s expansion to establish Cauchy’s Residue Theorem, which has far-reaching applications. In particular, it generalizes Cauchy’s integral formula for derivatives (18.5), so that integrals that have a finite number of isolated singularities inside a contour can be integrated rather easily.
Ravi P. Agarwal   +2 more
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Historical synopsis of Cauchy residue theorem

2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 2022
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Applications of the infinite series of Cauchy residue theorem and its extensions

International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 2022
Yanjun Chen, Chuyu Hu, Shuxian Song
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Fast Frequency-Domain Algorithm for Estimating the Dynamic Wind-Induced Response of Large-Span Roofs Based on Cauchy’s Residue Theorem

International Journal of Structural Stability and Dynamics, 2018
Wind-induced response analysis is an important process in the design of large-span roofs. Conventional time-domain methods are computationally more expensive than frequency-domain algorithms; however, the latter are not as accurate because of the ill-treatment of the modal coupling effects.
Su, Ning, Cao, Zhenggang, Wu, Yue
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