位置：成果数据库 > 期刊 > 期刊详情页
关于亚纯函数唯一性的一些结果
  • ISSN号：0255-7797
  • 期刊名称：数学杂志
  • 时间：2015
  • 页码：110-122
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：[1]中国人民大学信息学院,北京100872
  • 相关基金：国家自然科学基金资助（11171013）
  • 相关项目：覆盖曲面理论、随机级数及算子不等式的若干研究
作者： 许耀|张庆彩|
关键词： 亚纯函数, 小函数, 唯一性, 公共值, meromorphic function, small function, uniqueness： shared value
中文摘要：

本文研究了涉及重值的具有四个公共小函数的亚纯函数的唯一性问题.利用关于小函数的Nevanlinna第二基本定理精简形式及处理小函数的有关方法,改进了有关结果.利用Gundersen处理公共值对的方法,对具有五个IM公共值对和四个IM公共小函数对的亚纯函数的情况作了进一步讨论,推广改进了相关结果.

英文摘要：

In this paper, we study the uniqueness of meromorphic functions sharing four small functions concerning the multiplicities. Using the precise form of the second fundamental theorem of Nevanlinna concerning small functions and the some technique of dealing with small functions, we improve some previous results. And also by the methods of handling shared pairs given by Gundersen, we further research the problems of meromorphic functions sharing five pairs of values or sharing four pairs of small functions, and obtain some results which extending and improving the related results.

同期刊论文项目
覆盖曲面理论、随机级数及算子不等式的若干研究
期刊论文 53 会议论文 1 著作 1
同项目期刊论文
ZEROS AND FIXED POINTS OF DIFFERENCE
GROWTH OF SOLUTIONS TO SECOND-ORDER COMPLEXDIFFERENTIAL EQUATIONS
Value distribution of difference and q-difference polynomials
The zero distributionand uniqueness of difference-differential polynomials
关于代数体函数的唯一性
On Entire Solutions of Some Differential-Difference
Borel's directions and shared values
关于广义Furuta不等式的扩展型的一些研究
Growth of solutions of some nonlinear second order equations
RESULTS ON A QUESTION OF ZHANG AND YANG
Erratum to: A note on the Bruck conjecture
NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOC
Entire functions sharing one or two finite values CM with their shifts or difference operators
Normal families of meromorphic functions sharing values or functions
The fundamental theorems of algebroid functions on annuli
Value Distribution of Certain Type of Difference Polynomials
Furuta Type Inequalities Dealing with Pedersen-Takesaki Type Operator Equations
Entire Solutions Of Differential-Difference Equation And Fermat Type q-DifferenceDifferential Equati
潘勒韦III型差分方程的亚纯解
全平面内随机 Dirichlet 级数的几个定理
涉及重值的代数体函数的唯一性
CHARACTERIZATIONS OF OPERATOR ORDER FOR k STRICTLY POSITIVE OPERATORS
The Second Main Theorem Concerning Small AlgebroidFunctions
The scaling window of the model d-k-CSP
The Normality of Algebroid Multifunctions and Their Coefficient Functions
On the Phase Transitions of (k, q)–SAT
On growth of meromorphic solutions of nonlinear difference equations and two conjectures of C.C. Yan
Growth of Meromorphic Solutions for Complex DifferenceEquations of Malmquist Type
The Normality Criteria for Families of Entire Algebroid Functions
THE HYPER ORDER AND FIXED POINTS OFSOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
涉及CM分担值的代数体函数的唯一性
Least squares solutions of the matrix equation AXB+CYD=E with the least norm for symmetric arrowhead
Some results related to complex linear and nonlinear difference equations
On Radial Distribution of Julia Sets of Solutions to Certain Second Order Complex Linear Differentia
多类复高阶q-平移差分方程组的解
复线性微分方程解的导数的Julia 集的径向分布
New upper bounds for the MAX CUT problem
A new upper bound for random (2+p)SAT by flipping two variables
On the constraint length of random k-CSP
某类非线性微差分方程的整函数解
On the multiple values and uniqueness of algebraic functions on annuli
Entire functions that share values or small functions with their derivatives
The Second Main Theorem Concerning Small Algebroid Functions
Meromorphic solutions of linear difference equations
Some Further Results on Uniqueness of Entire Functions and
复域复合函数方程组解的极点与增长级
关于复差分方程组的允许解的形式
关于单叶限制值的正规定理
复高阶微分方程的解
期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910