Abstract
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.
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© 2011 Springer Science+Business Media, LLC
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Agarwal, R.P., Perera, K., Pinelas, S. (2011). Cauchy’s Residue Theorem. In: An Introduction to Complex Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-0195-7_31
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DOI: https://doi.org/10.1007/978-1-4614-0195-7_31
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Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4614-0195-7
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