一类全纯矩阵函数的解析性质
The Analyticity Properties of a Class of Holomorphic Matrix Functions

DOI: 10.12677/PM.2016.63036, PP. 227-237

Keywords: Picard定理，全纯矩阵函数，渐近值，复动力系统
Picard’s Little Theorem, Holomorphic Matrix Functions, Asymptotic Values, Complex Dynamic System

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Abstract:

本文把Picard定理推广到了一类C^3x3的全纯矩阵函数中，同时探讨了渐近值与Picard例外值之间的关系，最后在C^3x3中讨论了一些复动力系统的性质。
In this paper, we prove an analogue Picard’s little theorem for a special class of holomorphic matrix functions in C^3x3, and also study the relation between asymptotic values and Picard omitting value for holomorphic matrix functions. Moreover, we discuss the properties of complex dynamic system in C^3x3.

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