关于Euler公式的推广及其应用

ON GENERALIZATION AND APPLICATION OF EULER FORMULA

文[2]中的定理1.1,给出了Euler公式的一个推广,本文去掉其连续性条件,证明了推广的Euler公式,并应用它将给出Cauchy积分判别法的一个新证法。

A generalization of Eulcr Formula has been given in [2]. In this paper, we will prove the Theorem 1.1 in [2] without the condition of continuity, therefore we obtain a more generalization of Euler Formula. Finally, we give a new proof Cauchy integral criterion in terms of our theorm.