Cauchy integral formula

Azram, Mohammad and Elfaki, Faiz Ahmed Mohamed (2013) Cauchy integral formula. IOP Conference Series: Materials Science and Engineering, 53. pp. 1-5. ISSN 1757-8981

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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 f(z) along the close contour C is equal to 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:	Article (Journal)
Additional Information:	3127/36397
Uncontrolled Keywords:	Cauchy, Integral formula
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:	21 Apr 2014 11:56
Last Modified:	25 Apr 2014 15:45
URI:	http://irep.iium.edu.my/id/eprint/36397

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