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本论文主要研究的是亚纯函数的唯一性理论。This thesis studies the uniqueness theory of meromorphic functions.

在第二章，我们讨论了亚纯函数的几个正规定则。In charpter2, we will discuss some normal principles of meromorphic functions.

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整函数，亚纯函数，例外集，亏量，进分多项式。Entire function, Meromorphic function, Exceptional set, Deficiency, Differential polynomial.

给出了亚纯函数四值定理中一个引理的简化证明。We will give reduce demonstration for a lemma in four values theorem of meromorphic function.

在第三章，我们得到了与分担值相关的亚纯函数的几个正规定则。In charpter3, we will discuss the normality of meromorphic functions concerning shared values.

讨论一类亚纯函数线性组合的亏量关系，所得结论推广了已知结果。Relationship of the deficiencies of a kind of linear combination of meromorphic functions is discussed.

研究了具有一个公共值和亏值的亚纯函数的唯一性。In this paper, The uniqueness of meromorphic functions with a common range set and deficient values is studied.

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讨论了满足条件的有穷级亚纯函数的导函数的亏量问题以及满足条件的亚纯函数的唯一性问题。The paper discusses the defect and uniqueness of the derivatives of meromorphic functions of finite order satisfying.

本文主要研究了亚纯函数的唯一性问题，并简要地研究了正规族与正规函数的问题。In this thesis, we study uniqueness of meromorphic functions. We also study normal families and normal functions simply.

亚纯函数与整函数的分解理论是单复变函数论中一个令人感兴趣的课题。The factorization theory of meromorphic and entire functions is one of interesting problems in complex analytic function theory.

第一章，我们给出本文所要用到的一些亚纯函数值分布理论的方面的基础知识，常用记号和一些基本结果。In chapter one, we state a few usual notations, definitions and basic results in value distribution theory of meromorphic function.

孙道椿证明了单位圆内一类零级亚纯函数的最大型聚值点存在性定理，本文将这一结果在一定程度上推广到了亚纯代数体函数。Sun Daochun proves the existence theorem on the maximum condensation point of the zero order meromorphic functions in the unit circle.

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得到了超越整函数与超越亚纯函数的复合增长性的两个结果。In this paper, we obtained two results of composition growth of transcendental entire function and transcendental meromorphic function.

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。The object of this thesis is to study the uniqueness problems of meromorphic functions and meromorphic mappings in several complex variables.

讨论了多个亚纯函数的分担值问题，得到了几个唯一性定理。The author investigated the problem of shared values for several meromorphic functions and obtained some results concerning uniqueness theorems.

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

主要研究具有亏值的亚纯函数的唯一性问题，所得结果推广和改进了H。In this paper, we study the problem of uniqueness of meromorphic functions with deficient values, which generalizes and improves some results by H.

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第一章简略介绍了亚纯函数的奇异方向的发展过程，以及相关基础知识。In the first chapter we introduce the development process of the singular direction for the meromorphic function briefly and the relevant knowledge.

主要讨论两个亚纯函数分担三个公共值时的唯一性问题，所得结果改进了仪洪勋、邱淦俤等的相应定理。In this paper, we obtain an uniqueness theorem for meromorphic functions sharing three values, which improves some results of H. X. Yi and G. D. Qiu.

研究了具有两个CM分担集的非常数亚纯函数的唯一性问题，证明了一个定理，所得结果推广了仪洪勋的部分结论。In this paper, we study the uniqueness of meromorphic functions that share two finite sets CM, the result we obtained improves Yi's some conclusions.