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 |
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2013
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| Online Access: | http://irep.iium.edu.my/30577/ 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 |
| _version_ | 1848780312224464896 |
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| author | Azram, Mohammad Elfaki, Faiz Ahmed Mohamed |
| author_facet | Azram, Mohammad Elfaki, Faiz Ahmed Mohamed |
| author_sort | Azram, Mohammad |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T15:31:40Z |
| format | Proceeding Paper |
| id | iium-30577 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T15:31:40Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-305772013-09-12T01:34:46Z http://irep.iium.edu.my/30577/ Cauchy integral formula Azram, Mohammad Elfaki, Faiz Ahmed Mohamed QA Mathematics 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. 2013 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/30577/1/2004.pdf application/pdf en http://irep.iium.edu.my/30577/4/technical_session_icom1.pdf application/pdf en http://irep.iium.edu.my/30577/7/5th_International_Conference_on_Mechatronics_%28ICOM_%2713%29.pdf Azram, Mohammad and Elfaki, Faiz Ahmed Mohamed (2013) Cauchy integral formula. In: The 5th International Conferencce on Mechatronics (ICOM '13), 2-4 July, 2013, Kuala Lumpur. (Unpublished) http://www.iium.edu.my/engineering-71 |
| spellingShingle | QA Mathematics Azram, Mohammad Elfaki, Faiz Ahmed Mohamed Cauchy integral formula |
| title | Cauchy integral formula |
| title_full | Cauchy integral formula |
| title_fullStr | Cauchy integral formula |
| title_full_unstemmed | Cauchy integral formula |
| title_short | Cauchy integral formula |
| title_sort | cauchy integral formula |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/30577/ http://irep.iium.edu.my/30577/ 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 |