2010•Journal of Jiangxi Normal UniversityRequires access

The Cauchy Integral Formula and Its Application in Integration

Pan Heng-yi

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Abstract

It is expounded that the importance of Cauchy integral formula in the theory of analytic function firstly,and it is described that the Cauchy integral formula of various formal and the formula of higher derivative,in the end,the application of these formula in integration is illustrationed by the example.

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It is expounded that the importance of Cauchy integral formula in the theory of analytic function firstly,and it is described that the Cauchy integral formula of various formal and the formula of higher derivative,in the end,the application of these formula in integration is illustrationed by the example.

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Available abstract

It is expounded that the importance of Cauchy integral formula in the theory of analytic function firstly,and it is described that the Cauchy integral formula of various formal and the formula of higher derivative,in the end,the application of these formula in integration is illustrationed by the example.

Key concepts: Cauchy's integral formula, Mathematics, Residue theorem, Cauchy principal value, Cauchy distribution, Cauchy's integral theorem, Methods of contour integration, Cauchy's convergence test

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