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

作者: 付 超 * , 宋宁芳 :北京邮电大学理学院,北京;

关键词: 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

摘要:
本文把Picard定理推广到了一类C3x3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C3x3中讨论了一些复动力系统的性质。

Abstract: In this paper, we prove an analogue Picard’s little theorem for a special class of holomorphic matrix functions in C3x3, 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 C3x3.

文章引用: 付 超 , 宋宁芳 (2016) 一类全纯矩阵函数的解析性质。 理论数学, 6, 227-237. doi: 10.12677/PM.2016.63036

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