非均匀复变解析函数零点的孤立性及惟一性

Solidarity and Uniqueness Theorems of Zeros of Heterogeneous Complex Analytic Functions

本文把复变解析函数的孤立性定理及惟一性定理推广到非均匀复变解析函数上。通过对非均匀复变解析函数零点定义及性质的推广,给出非均匀复变解析函数的零点的孤立性定理及解析函数的惟一性定理。

In this paper, the isolation theorem and uniqueness theorem of complex analytic functions are extended to heterogeneous complex analytic functions. By extending the definition of zero and the properties of analytic function of heterogeneous complex variable, the isolation theorem of zero and uniqueness theorem of analytic function of heterogeneous complex variable are given.