广义积分主值的弱条件计算定理

A Theorem Of Calculation To Use The Imprope Integral

本文利用解析函数的 Laurent展式推出广义积分Cauchy-Hadamard主值的一种弱条件计算定理。同时给出一种审敛法则,并且举例说明该文理的应用。

This paper gives a theorem of calculation, which is on the weak condition of the Cauchy-Hadamard's imprope integra: ,by the analytic fuction , and a convergence criterion is given . In the end several examples are given to show the application of this theorem.