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Fu, C., Li, Y.Z. and Yao, X. (2016) A Note for Picard Theorem for Holomor-phic Matrix-Value Maps in . Complex Analysis and Operator Theory.

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• 标题: 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

  关键字: 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

  期刊名称: 《Pure Mathematics》, Vol.6 No.3, 2016-05-26

  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。 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.