Generalization and Application of Cauchy Integral Formula

被引：0

作者：

Cao Xuefeng ^{[1
]}

机构：

[1] Huanggang Normal Univ, Coll Math & Informat Sci, Huanggang 438000, Hubei, Peoples R China

来源：

PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS AND PHYSICS, VOL 2: ADVANCES ON APPLIED MATHEMATICS AND COMPUTATION MATHEMATICS | 2010年

关键词：

Cauchy integral theorem; Cauchy integral formula; analytic function; integral path; singular point;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Cauchy integral theorem or Cauchy integral formula is the core knowledge of complex complex integral. However, when singular points exist on the integral path or these closed contours form finite or infinite self-intersections, Cauchy integral theorem or Cauchy integral formula can not be used. Aiming at this case, in combination with Holder condition and related knowledge on singular integral, Cauchy integral formula for singular points on the contour is summarized in this paper, what's more, in the paper, a conclusion is drawn that integral path C is a closed contour and the integral value is still zero when the self-intersection is finite or infinite.

引用

页码：72 / 76

页数：5

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