[1]占美龙,郑秀敏.关于单位圆内亚纯系数线性微分方程解的微分多项式的值分布[J].江西师范大学学报(自然科学版),2014,(05):506-511.
 ZHAN Mei-long,ZHENG Xiu-min.The Value Distribution of Differential Polynomials Generated by Solutions of Linear Differential Equations with Meromorphic Coefficients in the Unit Disc[J].,2014,(05):506-511.
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关于单位圆内亚纯系数线性微分方程解的微分多项式的值分布()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年05期
页码:
506-511
栏目:
出版日期:
2014-10-31

文章信息/Info

Title:
The Value Distribution of Differential Polynomials Generated by Solutions of Linear Differential Equations with Meromorphic Coefficients in the Unit Disc
作者:
占美龙;郑秀敏
江西师范大学数学与信息科学学院,江西 南昌,330022
Author(s):
ZHAN Mei-long;ZHENG Xiu-min
关键词:
单位圆亚纯函数线性微分方程微分多项式
Keywords:
unit discmeromorphic functionlinear differential equationdifferential polynomial
分类号:
O174.52
文献标志码:
A
摘要:
研究了单位圆Δ={z ∈ C: z <1}内系数为亚纯函数的齐次和非齐次线性微分方程的亚纯解的增长性,同时精确估计了解的微分多项式取小函数值点的迭代收敛指数和迭代下收敛指数。
Abstract:
The growth of homogeneous and non-homogenous linear differential equations with meromorphic coeffi-cients in the unit disc Δ ={z∈C:z < 1}is investigated and the iterated(lower)convergence exponent of the se-quence of the points is estimated accurately,where the differential polynomials,generated by meromorphic solutions of the equations involved,take the same value with small function.

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备注/Memo

备注/Memo:
国家自然科学基金(11301233);江西省自然科学基金(20132BAB211002);江西省教育厅青年科学基金(GJJ14271)
更新日期/Last Update: 1900-01-01