The standard version of Cauchy’s argument principle, applied to a holomorphic function f, requires that f has no zeros on the curve of integration. In this note, we give a generalisation of such a principle which covers the case when f has zeros on the curve, as well as an application.

中文翻译：

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适用于含零曲线的解析函数的柯西论证原理的变体

柯西论证原理的标准版本，应用于全纯函数F, 要求F积分曲线上没有零点。在本说明中，我们给出了这样一个原则的概括，它涵盖了以下情况：F曲线上有零点，还有一个应用程序。