关于Rouche定理对称形式的推广

On the Extension of the Symmetric Form of Rouché's Theorem

本文把由I Glicksberg于 1 976年发现的Rouch啨定理的对称形式推广到一般情形 ,并且利用对数留数和单连通域的性质给出一个简捷的证明。

This paper extends the symmetric form of Rouché′s theorem found by I.Glicksberg in 1976 to the general case and gives a simple and direct proof by using the properties of logarithmic residues and simply connected regions