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单位圆内的随机亚纯函数
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：[1]华南师范大学数学科学学院,广州510631
  • 相关基金：国家自然科学基金（10871076）资助
作者： 孙道椿[1]
关键词： 随机变量序列, 亚纯函数, 增长性, 例外值, Sequence of random variables, Meromorphic function, Growth order, Exceptional value.
中文摘要：

该文第一次研究了随机亚纯函数的增长性及Borel例外值. 得到两个十分基本且有趣的定理.

英文摘要：

In this paper, the growth order and Borel exceptional value of random meromorphic functions are discussed firstly. Obtained are two interesting fundamental theorems.

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
同项目期刊论文
On properties of meromorphic solutions for some difference equations
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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
On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations
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
Some properties of meromorphic solutions of q-difference equations
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
关于孤立性定理
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
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
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  • 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:5382