论文标题

凯奇(Cauchy)参数原理的一种分析功能的变体,该原理适用于包含零的曲线

A variant of Cauchy's argument principle for analytic functions which applies to curves containing zeroes

论文作者

Boudabra, Maher, Markowsky, Greg

论文摘要

众所周知,适用于全体形态函数$ f $的Cauchy的论点原则要求$ f $在集成的曲线上没有零。在简短的说明中,我们对这样的原则进行了概括,该原则涵盖了$ f $在曲线上具有零的情况以及应用程序时的情况。

It is known that the Cauchy's argument principle, applied to an holomorphic function $f$, requires that $f$ has no zeros on the curve of integration. In this short note, we give a generalization of such a principle which covers the case when $f$ has zeros on the curve, as well as an application.

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