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关于孤立性定理
  • ISSN号：1000-5862
  • 期刊名称：《江西师范大学学报：自然科学版》
  • 时间：0
  • 分类：O174.53[理学—数学;理学—基础数学]
  • 作者机构：[1]华南师范大学数学系,广东广州510631
  • 相关基金：国家自然科学基金（10871076）资助项目
作者： 孙道椿[1]
关键词： 结式, 孤立性定理, 代数体函数, 分支点, 第二基本定理, eliminant, the theorem of the isolated points, algebroid function, branch points, the second fundamental theorem
中文摘要：

代数体函数的第二基本定理是在不可约情况下推出的,利用分支点的估计式,证明了一个孤立性定理,然后在较宽的条件下证明了分支点定理,因此推广了重要的代数体函数第二基本定理的使用条件.

英文摘要：

The second fundamental theorem of algebroid functions is held for the irreducible algebroid functions,because it is used that the evaluation of the branch points of algebroid functions in its proof.In the paper,firstly a theorem of the isolated points and the theorem of branch points are proved under the wide condition.Then the use conditions of the second fundamental theorem of algebroid functions are improved.

同期刊论文项目
复域差分, 差分方程与微分方程的解析性质
期刊论文 62
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On properties of meromorphic solutions for some difference equations
On difference equations relating to Gamma function
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On properties of difference polynomials
Meromorphic solutions of some q-difference equations
Oscillation theorem for higher-order linear differential equations with periodic coefficients
On growth of solutions of some second-order linear differential equations
The zeros distribution of higher order differential equations in an angular domain
Growth and zeros of meromorphic solution of some linear difference equations
Subnormal solutions of second order nonhomogeneous linear periodic differential equations
Normality criteria for families of meromorphic algebroid functions
Linear differential equations with entire coefficients of [p, q]-order in the complex plane
Composition of entire functions with finite iterated order
Subnormal solutions of second-order nonhomogeneous linear differential equations with periodic coeff
Meromorphic solutions of some difference equations
Normal criteria on the family of meromorphic functions with shared set
Relationships between entire functions and their forward differences
On the growth of solutions of a class of higher order linear differential equations
Oscillation theorems for higher order periodic linear differential equations
Some properties of solutions of periodic second order linear differential equations
On Sharing Values of Meromorphic Functions and Their Differences
Estimates for zeros of differences of meromorphic functions 亚纯函数差分的零点估计
Numbers of subnormal solutions for higher order periodic differential equations
Value distribution of meromorphic solutions of certain difference Painleve equations
On the operations of algebroid functions
On subnormal solutions of periodic differential equations
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The hyper order of solutions of second order differential equations and subnormal solutions of perio
The zeros distribution of hyper solutions of higher order differential equations in angular domain
Properties of difference of meromorphic functions
Some results on difference Riccati equations
Value distribution of meromorphic soluteions of some q-difference equations
Meromorphic functions in the unit disc that share values in an angular
Differential equations with coefficients of slow growth in the unit disc
On a Conjecture Concerning Some Nonlinear Difference Equations
Meromorphic function sharing two sets with its difference operator
On meromorphic solutions of Riccati differential equations
Subnormal solutions differential equations with periodic coefficients
On a problem in complex oscillation theory of periodic higher order linear differential equations
On the meromorphic solutions of linear differential equations on the complex plane
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Properties on solutions of some q-difference equations
Growth of meromorphic solutions of some difference equations
A clunie lemma for difference and q-difference polynomials
Value distribution of meromorphic solutions of some q-difference equations
周期系数二阶齐次线性微分方程的次正规解
一类微分方程的解和小函数的关系
与其导数具有公共值的代数体函数的唯一性定理
Zeros of Entire Solutions to Complex Linear Difference Equations
某些q-差分方程亚纯解的增长性
某些差分多项式的亏量
On Properties of Finite Order Meromorphic Solutions of Certain Difference Painleve I equation
具有缺项级数系数的高阶齐次线性微分方程解的性质
单位圆內的随机亚纯函数
Value distribution of products of meromorphic functions and their differences
单位圆内的随机亚纯函数
高阶非齐次线性微分方程解的性质
一类高阶周期系数线性微分方程解的性质
某类高阶周期线性微分方程解的性质
与线性微分多项式有一个公共值的整函数
Value Distribution of Meromorphic Solutions of Some q-Difference Equations
期刊信息
  • 《江西师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:江西师范大学
  • 主办单位:江西师范大学
  • 主编：
  • 地址：南昌市紫阳大道99号
  • 邮编：330022
  • 邮箱：lk8506184@126.com
  • 电话：0791-88506814
  • 国际标准刊号：ISSN：1000-5862
  • 国内统一刊号：ISSN：36-1092/N
  • 邮发代号:44-56
  • 获奖情况:
  • 2009年中国高等学校自然科学学报研究会颁发“全国...,2009年被评为：第四届华东地区优秀期刊奖”,2008年教育部科技司授予“第2届中国高校优秀科技...,2008年江西省新闻出版局授予“第3届江西省优秀期...,2004年教育部科技司授予“全国高校优秀科技期刊二...
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  • 被引量:5205