1) transcendental meromorphic function
超越亚纯函数
1.
By using Nevanlinna′s theory on meromorphic function,and studing value distribution(theory of) transcendental meromorphic function,this paper obtained the following conclusion: Let f be a transcendental meromorphic function and c(≠0) be a small function of f.
运用Nevanlinna的亚纯函数理论方法,研究了超越亚纯函数的值分布理论,获得了如下的结论:设f为超越亚纯函数,c为f的不恒等于0的的小函数,则当n≥3时,fnf′-c有无穷多个零点;若附加条件f只有有限多个级≤2的零点,则对一切正整数n,fnf′-c都有无穷多个零点。
2.
The following theorem is proved: Given f is a transcendental meromorphic function, and a 0, a 1,…, a k(a k 0) are some small functions of f , Defined by D=a 0f+a 1f′+…+a kf (k) If all ω with (D) ′=0 are the small functions of f , then for every ε >0,there exists (1-ε)T(r,f)<1+1kNr,1f+1+1kNr,1D-1- Nr,1(D)′+S(r,f) This result includes Haymans and Yang Les inequality.
证明了下述定理：设ｆ是一超越亚纯函数，ａ０，ａ１，…，ａｋ为ｆ的一组小函数，且ａｋ０。
3.
let k be any positive integer and f(z) be a transcendental meromorphic function in the complex plane.
设k∈N,f(z)为复平面上的超越亚纯函数,φ(z)、ak-1(z),…,a0(z)为f(z)的小函数,且φ(z)0。
2) transcendental meromorphic functions
超越亚纯函数
1.
In this paper,the characteristic functions compared with the derivative increment of linear fraction transformation of transcendental meromorphic functions have been studied,and inferred a theorem based on Nevanlinna theory.
研究了超越亚纯函数的分式线性变换的特征函数与其导数的特征函数增长性的比较，并由Ｎｅｖａｎｌｉｎｎａ理论推导出一个定理，其主要结果为：Ｔ（ｒ，Ｆ）＜４０λλ－１ｌｏｇｅλλ－１Ｔ（λｒ，ｆ′）＋ｌｏｇ＋（λｒ）＋ｌｏｇ＋｜ｆ（０）｜＋５＋ｌｏｇ＋ａｄ＋ｌｏｇ＋ｂｄ＋ｌｏｇ２（ｃ＝０）Ｔ（ｒ，Ｆ）＜４０λλ－１ｌｏｇｅλλ－１Ｔ（λｒ，Ｆ′）＋ｌｏｇ＋（λｒ）＋ｌｏｇ＋｜Ｆ（０）｜＋５＋ｌｏｇ＋ａｄ－ｂｃｃ２＋ｌｏｇ＋ｄｃ＋ｌｏｇ２＋ｈ（ｒ）（ｃ≠０
2.
The dynamics of composite transcendental meromorphic functions is investigated in this paper,and some known results was extended to this case.
讨论了两个超越亚纯函数复合的动力学性质,推广了若干已知结果。
3) Transecendental meromorphic function
超越亚函数
4) transcendental meromorphic solutions
超越亚纯解
1.
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 。
5) transcendental function
超越函数
1.
Design and implementation of floating-point operation unit with transcendental function;
支持超越函数的浮点运算单元的设计与实现
2.
The implementation of transcendental function in LSC87 coprocessor;
LSC87嵌入式协处理器中超越函数的实现方法
3.
Improved Genetic-annealing Algorithm's application in solving the nonlinear equations which Contains transcendental function
改进的遗传退火算法在针对含有超越函数的非线性方程组中求解的应用
6) Meromorphic function
亚纯函数
1.
On an uniqueness of meromorphic functions sharing two finite sets;
关于分担两个集合的亚纯函数的唯一性
2.
Uniqueness of meromorphic functions concerning weakly weighted-sharing small functions;
涉及权弱分担小函数的亚纯函数唯一性
3.
Uniqueness theorem of meromorphic functions sharing one value;
权分担一个值的亚纯函数的唯一性定理
