Calculation and application of complex function integration

Ruheng Chen

doi:10.47297/wspiedWSP2516-250027.20250903

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Calculation and application of complex function integration

Volume 9, Issue 3

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Calculation and application of complex function integration
Calculation and application of complex function integration
College of Mathematics and Informatics, South China Agricultural University, Guangzhou, 510642, China
Vol. 9, Issue 3, Pages: 137-142(2025)
Published：24 March 2025
DOI：10.47297/wspiedWSP2516-250027.20250903
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Chen Ruheng.Calculation and application of complex function integration[J].Journal of International Education and Development,2025,09(03):137-142.
DOI：

Chen Ruheng.Calculation and application of complex function integration[J].Journal of International Education and Development,2025,09(03):137-142. DOI： 10.47297/wspiedWSP2516-250027.20250903.

摘要

Abstract

Complex integration is an important topic in the theory of complex functions

primarily focusing on analytic functions and proving their essential properties through complex integration. The computation of complex integrals

particularly the application of Cauchy's Integral Theorem

is one of the key problems in integral theory. Complex functions have broad applications in both theory and practice

and analytic functions play a crucial role in solving practical problems in fields such as physics. Formula

the Newton-Leibniz Formula

the higher-order derivative formulas for analytic functions

and the Residue Theorem. These methods are invaluable in solving complex integrals. This paper will first introduce the basic concepts and properties of complex functions

then systematically summarize several common methods for calculating complex integrals

illustrating their internal connections through examples. By highlighting some tips for solving complex integrals

this paper aims to help efficiently select the appropriate method in practical problems

improving problem-solving speed and effectiveness.

关键词

Keywords

references

Zhong Yuquan, Complex Functions (Fifth Edition) [M ] . Beijing : Higher Education Press , 2004 .

Chen Jing, Yun Shujie Several Calculation Methods of Complex Function Integrals [J ] Journal of Henan Mechanical and Electrical College Vol.21 No.2 Mar . 2013 22 - 23 .

Huang Jun, Discussion on the Calculation Method of Complex Function Integral [J ] Journal of Changzhou Institute of Technology Vol.21 No.4 Aug . 2008 73 - 75 .

Qiu Shuangyue Complex integral calculation [J ] Journal of Handan University Vol.19 No.3 Sept . 2009 57 - 60 .

Chai Guoqing on the calculation of complex variable integrals [J ] Journal of Higher Correspondence Education (Natural Science Edition) 1995. No . 3 27 - 30 .

Xue Bin's discussion on the calculation method of complex function integrals [J ] Higher Education Perspective 2017 . 22 .

Ma Guiying, Common methods for calculating complex integrals [J ] Yinshan Journal , Jun.2003 , No. 1 , 49 - 50 .

Jiao Jingjing briefly discusses the calculation method of integrals in complex functions [J ] Higher Education Perspective 2017 .12 No. 4 .

Wang Guandi briefly discusses several calculation methods of complex integrals [J ] Journal of Baicheng Normal University Vol.31 No.6 Dec . 2017 25 - 30 .

Zhu Minhui , Cui Yan , A brief analysis on the calculation of complex variable function integrals [R ] 2010JG45 12JK0877 Science and Technology Horizon 2012.31 46-50.

Yue Hongyun and Liu Gongwei briefly analyze the calculation of complex integrals [J ] Higher Education Perspective 2018 .14 No. 9 .

Yang Wenyu briefly analyzes the calculation method of complex integrals [J ] Science and Technology Horizon 2018 . 21 . 066 149 - 150 .

Xing Yanan and Song Lina: Application of real integral calculation method in complex integral calculation [J ] Science and Technology Horizon 2019 . 06 . 059 158 - 161 .

Qiu Dongbao, Typical Problems of Complex Functions [M ] , Xi'an . Xi'an Jiaotong University Press , 2003 .

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