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 charpter 3, we study the value distribution of differential polynomial of meromorphic functions, which generalize the related results due to Liu, Pang and et.
在第三章，我们得到了亚纯函数值分布的一些结果，改进了刘晓俊和庞学诚等人的有关结果。
It introduces partial fractions of meromorphic functions, product developments of entire functions, Hadamard's theorem, Riemann Zeta functions, Poisson-Jensen's formula; elliptic functions, including simply periodic functions and doubly periodic functions; algebraic functions and algebroid functions, Riemann surface, Nevanlinna theory, including characteristic functions, the first and second fundamental theorems, growth orders, etc; complex differential equations and complex functional equations, etc.
具体为：亚纯函数的部分分式、整函数的无穷乘积展开、Hadamard定理、Riemann Zeta函数、Poisson-Jensen公式；椭圆函数，包括单周期函数、双周期函数；代数函数和代数体函数、Riemann曲面简介；Nevanlinna理论简介，包括特征函数、第一和第二基本定理、增长级等；复微分方程和复函数方程，等等。在教学内容上充分体现基础性、新颖性。
In this paper, we investigate the problem of the existence of transcendental meromorphic solutions of a type of algebraic differential equation and obtain a result.
讨论了一类代数微分方程的超越亚纯解的存在性问题，得到了一个结果。
The purpose of this paper is to investigate the form of a class of systems of complex higher order differential equation with admissible solution. Our method is to use Nevanlinna theory of the value distribution of meromorphic functions.
本文的目的是研究一类复微分方程组存在允许解时它的形式，方法是利用亚纯函数Nevanlinna的值分布理论。
Applying the theory of Nevanlinna's value distribution and the uniqueness theory of meromorphic functions, the uniqueness of Meromorphic functions concerning derivative, differential polynomial and deficient value is studied.
利用Nevanlinna值分布理论和亚纯函数唯一性理论，研究了涉及导数、微分多项式和亏值的亚纯函数唯一性问题。
Anderson, Baker and Clunie put forward the problem of exceptional set of differential polynomials, which is solved completely for entire functions in this article; besides, the author makes great progress in research of meromorphic functions.
An-derson、Baker、Clunie提出了微分多项式例外集问题，本文不仅对整函数完全解决了他们提出的问题，而且对亚纯函数也做了一些工作，使Anderson等人问题的研究在亚纯函数上有了较大进展。
The paper obtains the growth of single-valued meromorphic solutions and finite branch solutions of differential equations in the complex plane and generalizes the results of N.
本文讨论了一类高阶代数微分方程的单值亚纯解和有限多分支解的增长性，推广了N。
On the maximum condensation point of the meromorphic functions satisfying algebraic differential equations in the unit circle
单位圆盘内一类亚纯代数体函数的最大型聚值点
On Three Differential Operators for Meromorphic Starlike Functions
关于亚纯星像函数的三个微分算子
This paper investigates the characteristic estimation of meromorphic solutions of a class of systems of complex differential equations.
研究了何时一个函数的某次迭代等于它的倒数，给出该函数方程所有亚纯解的精确公式。
This Paper investigates the characteristic estimation of meromorphic solutions of a class of systems of complex algebraic differential equations. SOME RESULTS ON ADMISSIBLE ALGEBROID SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS
本文给出了一类复代数微分程组亚纯解的特征估计.复代数微分方程的代数体允许解的一些结果
The Fix Point and Hyper of Solutions of Higher Order Linear Differential Equations with Meromorphic Function Coefficents
亚纯函数系数的高阶线性微分方程解的不动点和超级
In chapter 2, we investigate the Borel exceptional values, full circles, and Borel directions of iterated order of meromorphic functions. In this thesis, we investigate the property of solutions of differential equations with coefficients of iterated order.
第二章，我们证明了迭代级亚纯函数的Borel例外值、充满圆及Borel方向。推广了已有的结果。本文中，我们讨论了迭代级亚纯函数系数线性微分方程解的性质。
In this thesis, we investigate the Borel direction of the meromorphic functions with iterated order and the complex oscillation theory of solutions of differential equations by using the concept of iterated order.
本文利用亚纯函数的迭代级的概念，研究了迭代级亚纯函数的Borel方向及其微分方程解的复振荡理论。
The Uniqueness of Differential Polynomial for Meromorphic Functions Sharing one Small Function Pair
微分多项式分担一个小函数对的唯一性
The uniqueness problem of meromorphic functions which has few poles and shares a small meromorphic function with their linear differential polynomials is studied to improve the previous results of R.
通过考虑少极点的非常数亚纯函数与其线性微分多项式分担一个小函数的情况，改进了R。
On the oscillation of meromorphic solutions of higher order linear differential equations
关于高阶线性微分方程亚纯解的复振荡