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Let〓be a meromorphic function of finite order and〓z,where qis rational and pis a polynomial.Then every cycle of Bakerdomains of f contains a singularity of〓.

推论3.4设q是一个有理函数,p是一个多项式,m,n是满足〓的两个正整数,又设f是一个满足如下微分方程的亚纯函数〓(3.2)则f的每一个Baker域循环一定含有〓的奇异点。

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。

Value distribution theory offer an important method to the study of meromorphic solution to this kind of equations.

中文摘要:本文所考虑的对象是复平面下的一类代数微分方程,值分布论为这类方程亚纯解的研究提供了重要的方法。

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.

文摘: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。

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从鲍尔点的形成原理出发,分析对称连杆曲线上鲍尔点的产生条件,提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

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