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In this paper we discuss the relation of shared values and normal families, and obtain some normal criteria of the family of meromorphic functions.

本文主要讨论了亚纯函数的分担值与亚纯函数的正规族之间的关系,得到了关于亚纯函数族的一些正规定则。

In this paper we get the following results: Let be a meromorphic function in domain G which is not identically zero, a1, a2,…,ak be holomorphic function in domain G, F={f} be a family of meromorphic functions in G.

本文获得如下结果:设为区域G内一不恒为零的亚纯函数,a1,a2,…,ak为区域G内的全纯函数,F={f}为G内一亚纯函数族。

In this paper,we present a new class of second order linear differential equation s with meromorphic coefficients and investigate the problems on the fixed points and hyper order of solutions and their 1st,2nd derivatives.

该文提出了一类新型的亚纯函数系数的二阶线性微分方程,研究了其亚纯解及其一阶和二阶导数的不动点及超级问题,得到了有关复域微分方程亚纯解及其一阶和二阶导数的不动点性质。

In this paper,we present a new class of second order linear differential equations with meromorphic coefficients and investigate the problems on the fixed points and hyper order of solutions and their 1st,2nd derivatives.

该文提出了一类新型的亚纯函数系数的二阶线性微分方程,研究了其亚纯解及其一阶和二阶导数的不动点及超级问题,得到了有关复域微分方程亚纯解及其一阶和二阶导数的不动点性质。

In chapter 4, the relation between Fatou components of a transcendental meromorphic function or a transcendental meromorphic solution of some differential equation and the set of singular values is discussed, the main considered question is the relation between wandering domains or Baker domains and the set of singular values.

第四章讨论了超越亚纯函数或微分方程超越亚纯解Fatou分支与奇值集的关系问题,主要是研究游荡域或Baker域与奇值集的关系,得到在一定条件下,某些超越亚纯函数的多连通游荡域以及某些微分方程超越亚纯解的Baker域必定含有奇值。

In 2005 Zhou Houqing proved a theorem about the uniqueness of meromorphic function, we consider if we can weak the condition CM to weight using the idea of sharing value with weight so as to get a better conclusion.

权分担是亚纯函数唯一性理论中的重要内容。2005年周后卿证明了一个关于亚纯函数唯一性的定理,考虑能否运用权分担的思想将CM分担减弱为权分担,从而得到更好的结论。

In the dissertation, we do a further study in value distribution theorem and normal families theorem of meromorphic function and get some results by using the Nevanlinna's value distribution and the Ahlfors value distribution.

中文摘要:本论文主要运用Nevanlinna值分布理论以及Ahlfors值分布理论在亚纯函数值分布理论和亚纯函数正规族理论两个领域内做了进一步研究,并且相应的得到了几个结果。

The object of this thesis is to study the uniqueness problems of meromorphic func-tions and meromorphic mapping s in several complex variables.

本文以多复变数的亚纯函数与亚纯映射的唯一性问题为研究对象。

Based on the study of the relation between meromorphic mapping and moving targets,a new truncated second main theorem is proved for meromorphic mapping in several complex variables with moving targets.

通过对亚纯映射与小映射之间关系的研究,给出了一个涉及小映射的亚纯映射精简密指量形式的第二基本定理,并由此得到相应的亚纯映射唯一性定理。

The Borel direction and a normal criterion are derived by using the fundamental inequality and filling disks of quasimeromorphic mappings.

研究了拟亚纯映射,应用拟亚纯映射的基本不等式和充满圆得到了其Borel方向和一个正规定则。

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