带奇异点函数的Cauchy定理

CAUCHY THEOREM OF FUNCTIONS HAVE SINGULAR POINT

本论文主要研究带奇异点的Cauchy定理,主要考虑奇异点在区域内部为极点和奇点在区域边界上的二种情况,利用留数去计算Cauchy积分表达式,得到了不同情况下的Cauchy定理。

In the paper,the Cauchy theorem of functions that have pole and singular point in domain or on domain boundary were studied,we used the theorem of residue to calculate the expression of integral and get some result about Cauchy theorem.