最小模原理的证明  

Proof of Minimum Modulus Principle

作　　者：朱丽芹[1] 

机构地区：[1]济南大学理学院,山东济南250022

出　　处：《济南大学学报（自然科学版）》2009年第3期315-316,共2页Journal of University of Jinan(Science and Technology)

摘　　要：利用保域定理证明最小模原理,并讨论最小模点的取值范围。用最小模原理更简单地证明代数学基本定理,同时证明某些函数有零点存在。The minimum modulus principle is proved by using the preserving field theorem, and the span of minimum modulus point is discussed. The fundamental theorems of algebra are proved more simply by use of this theorem, and the existence of zero points of function are proved simultaneously.

关 键 词：最小模原理 最小模点 解析函数 代数学基本定理 零点 

分 类 号：O174.5[理学—数学]