On the complex oscillation of differential polynomials generated by meromorphic solutions of differential equations in the unit disc

被引：7
|
作者：
Cao, Ting-Bin [1 ]
Xu, Hong-Yan [2 ]
Zhu, Chuan-Xi [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
[2] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Peoples R China
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2010年 / 120卷 / 04期
关键词：
Differential equation; meromorphic function; iterated order; the unit disc; FIXED-POINTS; GROWTH; ORDER;
D O I：
10.1007/s12044-010-0037-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the complex oscillation of differential polynomials generated by meromorphic solutions of differential equations f((k)) + A(Z)f = 0, k >= 2, where the coefficient A is meromorphic in the unit disc D = {z: vertical bar z vertical bar < 1}.
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页码：481 / 493
页数：13
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