Cauchy integral formula
Cauchy-Goursat integral theorem is pivotal, fundamentally important, and well celebrated result in complex integral calculus. It requires analyticity of the function inside and on the boundary of the simple closed curve. In this study we will investigate the condition(s) under which integration of t...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English English |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/30577/1/2004.pdf http://irep.iium.edu.my/30577/4/technical_session_icom1.pdf http://irep.iium.edu.my/30577/7/5th_International_Conference_on_Mechatronics_%28ICOM_%2713%29.pdf |
| Summary: | Cauchy-Goursat integral theorem is pivotal, fundamentally important, and well celebrated result in complex integral calculus. It requires analyticity of the function inside and on the boundary of the simple closed curve. In this study we will investigate the condition(s) under which integration of the function along simple closed curve C is zero, even though the function is not analytic at a point inside C. Consequently,we will extend the above notion to a finite numbers of points and will present an easy and simple
proof of unquestionably the most important, significant and pivotal result known as Cauchy integral formula. |
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