Generalization and Application of Cauchy Integral Formula
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, whats 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 selfintersection is finite or infinite.
Cauchy integral theorem Cauchy integral formula analytic function integral path singular point
Cao Xuefeng
College of Mathematics & Information Science, Huanggang Normal University, Huanggang, Hubei 438000
国际会议
南京
英文
440-444
2010-05-08（万方平台首次上网日期，不代表论文的发表时间）