Entire function, Meromorphic function, Exceptional set, Deficiency, Differential polynomial.
整函数，亚纯函数，例外集，亏量，进分多项式。
With regard to uniqueness, this dissertation studies the problem of entire functions and their differential polynomial sharing one value by using the idea of weighted sharing.
在唯一性方面，利用加权的思想研究了整函数及其微分多项式分担一个值的唯一性问题。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。
Then an improved EVERETT interpolation formula in the form of polynomial of the variable is obtained by developing the differential form.
然后，将差分公式展开，得出了直接用自变量的多项式形式表示的改进的EVERETT插值公式。
New method of parameter estimation for time varying non linear distributed systems is proposed in term of orthogonality of orthogonal polynomial and differential operation matrix.
利用正交多项式序列的正交性及微分算子矩阵，论述了时变非线性分布参数系统参数估计的正交多项式法。
The distribution of zeros for nonlinear differential equations with positive arguments by method of polynomial series, and some more explicit conditions to oscillate are given.
通过构造多项式序列的方法，建立了非线性时滞方程的解的零点分布，给出了较为广泛的振动条件。
From Chapter 3 to Chapter 6, the center-focus determination and bifurcation of the equator are studied for real planar odd polynomial differential systems.
在第三章至第六章，我们研究实平面奇数次多项式微分系统无穷远点(赤道)的中心焦点判定与赤道极限环分支。
From Chapter 3 to Chapter 6, the center-focus determination and bifurcation of the equator are studied for real planar odd polynomial differential systems.
在第三章至第六章，我们研究实平面奇数次多项式微分系统无穷远点(赤道)的中心焦点判定与赤道极限环分支。
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