Cauchy integral formula

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 (Unpublished)

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Abstract

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.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	3127/30577
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Prof Mohammad Azram
Date Deposited:	12 Sep 2013 09:34
Last Modified:	12 Sep 2013 09:34
URI:	http://irep.iium.edu.my/id/eprint/30577

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