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1)  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
2)  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 。
3)  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。
4)  linear differential polynomials
线性微分多项式
1.
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。
5)  linear differential polynomial
线性微分多项式
1.
Yang,a unicity theorem on the entire function in the open complex plane and its generated linear differential polynomials sharing two distinct finite values was proved,which can extend and generalize many previous results.
通过引入李平和杨重骏建立的一个辅助函数,证明了一个复平面上整函数与其线性微分多项式分担两个有穷判别值的惟一性定理,并改进和推广了以前的许多结果。
2.
The uniqueness problem on entire functions that share only one small function with their derivatives and their linear differential polynomials are studied.
研究整函数及其导数与线性微分多项式分担一个小函数的唯一性问题,所得结果从两方面改进了Jank,Mues和Volkmann的定理。
6)  polynomial differential system
多项式微分系统
1.
This paper deals with the higher order singular points of polynomial differential systems.
分析多项式微分系统的奇点(0,0),当G(θ_0)=H(θ_0)=0时,沿其特征方向θ=θ_0有无轨线通向奇点(0,0)的问题,对于多项式微分系统简化了文献[4]的条件,从而便于直接应用,最后以例示之。
补充资料:多项式乘多项式法则
Image:1173836820929048.jpg
多项式乘多项式法则

先用一个多项式的每一项乘以另一个多项式的每一项,再把所得的积相加。

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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