The application of residue formula

Jiwei Fu

doi:10.1117/12.2639461

17 May 2022 The application of residue formula

Jiwei Fu

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 122591H (2022) https://doi.org/10.1117/12.2639461
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

The residue formula has a crucial influence on the field of complex functions. This paper overviews the residue formula and its proof. Afterward, this paper introduces Cauchy theorem, Cauchy formula, and higher order derivative theorem, which can be proved by residue formula. Subsequently, we find that the last three formulas are essentially the extension of the residue formula in different situations, and they can be used to effectively solve specific integral problems. We end this paper by applying these four formulas to solve a certain type of integral.

Citation Download Citation

Jiwei Fu "The application of residue formula", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 122591H (17 May 2022); https://doi.org/10.1117/12.2639461

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