1) Differential monomial
微分单项式
1.
On the value distribution of differential monomial of algebroid functions;
一类微分单项式的值分布
2.
Value distributions of the general differential monomials is discussed.
讨论了一般微分单项式的值分布 ,得到定理 :设 f 是平面上的超越亚纯函数 。
2) differential polynomial
微分多项式
1.
Values distribution of certain differential polynomials;
一类微分多项式的值分布
2.
Some theorems for linear differential polynomials;
线性微分多项式的几个定理
3.
On the meromorphic functions that their differential polynomials share one value;
微分多项式具有相同1值点的亚纯函数
3) differential polynomials
微分多项式
1.
The value distribution of differential polynomials on meromorphic function;
关于亚纯函数微分多项式的值分布
2.
In this paper,the value distribution of differential polynomials in the form of P′[f]+Q[f] was studied,the results given by Hayman W K,Clunie J and Mues E were extended,and those of Zhang Zhan-liang,Li Wei,et al were improved further.
设f(z)是复平面上的亚纯函数,P[f]是f的n次常系数多项式,Q[f]是f的微分多项式,满足-N(r,f)+-N r,P′1+Q=S(r,f),其中Q[f]的次数vQ≤n-2,本文考虑P′[f]+Q[f]的值分布,推广了Hayman K W,Clunie J,Wues E等人关于整函数的结果,进一步改进了张占亮和李伟等人的相关研究结果。
3.
Some properties of differential polynomials on a differential ring are discussed.
将Ritt理论中有关微分域上的微分多项式系统的基本性质移植到微分环上 ,给出了用于计算任一微分多项式关于一个升列的余式的余式公式 ,并讨论了由微分多项式系统在添加新的多项式后形成的新的完备理想与原理想的关系 。
4) differential binomial
微分二项式
1.
The following theorem is shown in this paper:Let f be a nonconstant entire function,and g=c0f +c1f’(c1≠0) be a differential binomial of f.
研究了整函数与其微分二项式具有两个IM分担小函数时是否恒等的问题,推广并改进了E。
5) binomial differential
二项式微分
6) differential polynomial
线性微分多项式
1.
We study whether the derivative f~((k)) in Frank-Weissenborn inequality can be replaced by a general linear differential polynomial a_0f+a_1f′+…+ a_kf~((k))or not, and have solvedit completely.
对Frank-Weissenborn不等式中导数f~((k))能否被替换成一般的线性微分多项式a_0f+a_1f′+…+a_kf~((k))进行了研究,并彻底解决了这一问题。
2.
It is studied whether the derivative f(k) in Hayman-Yang′s inequality can be replaced by a general linear differential polynomial a0f+a1f′+…+akf(k) or not, and is solved completely.
对Hayman-Yang不等式中导数f(k)能否被替换成一般的线性微分多项式a0f+a1f′+…+akf(k)进行了研究,并彻底解决了这一问题。
3.
It is studied whether the derivative f(k) in Hayman-Yang\'s inequality can be replaced by a general linear differential polynomial a0f+a1f′+…+akf(k) or not,and is solved completely.
主要研究线性微分多项式的值分布,建立了两个不等式,其结果是杨乐的两个定理的推广。
补充资料：单项式
a，－5，1x，2xy都是单项式，而0.5m+n不是单项式
单项式是指只含乘法的式子，单独的字母或数字也是单项式。
这个名词是清代数学家李善兰译书时根据原词概念汉化的。
1，单项式中只含有乘法和乘方运算，不能含有加减运算；
2，单项式中可以含有除以数的运算，但不能含有除未知数的运算。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条