Application of Residue Theorem on Some Different Types of Integrals

Yida Wu

2025

Abstract

Complex analysis in the complex plane is an important branch of integration in the field of mathematics, and it is also an efficient mathematical tool to study and analyse the behaviour of complex variables. Complex functions are used in many scientific fields such as physics, computer science, and engineering. Complex analysis can solve many problems that are difficult to be solved by integrals of real variables alone or the solutions are very complex. Many problems in physics, chemistry, and engineering can be efficiently solved using complex analysis. This paper mainly introduces how to solve some specific types of integrals by using the residue theorem skilfully, and how to simplify the complexity of calculation and integration by using the residue theorem. Moreover, this paper illustrates the basic application of the residue theorem in detail through several examples. The discussion in this paper is helpful to popularize the idea of calculating and solving these types of integrals, and promote the application of these types of integrals in solving practical problems.

Paper Citation

in Harvard Style

Wu Y. (2025). Application of Residue Theorem on Some Different Types of Integrals. In Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA; ISBN 978-989-758-774-0, SciTePress, pages 114-118. DOI: 10.5220/0013815000004708

in Bibtex Style

@conference{iampa25,
author={Yida Wu},
title={Application of Residue Theorem on Some Different Types of Integrals},
booktitle={Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA},
year={2025},
pages={114-118},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013815000004708},
isbn={978-989-758-774-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA
TI - Application of Residue Theorem on Some Different Types of Integrals
SN - 978-989-758-774-0
AU - Wu Y.
PY - 2025
SP - 114
EP - 118
DO - 10.5220/0013815000004708
PB - SciTePress