THE INFINITE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS OF WHICH COEFFICIENT WITH DYNAMICAL PROPERTY

被引：3

作者：

Zhang, Guowei ^{[1
]}

Wang, Jian ^{[1
]}

机构：

[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2014年 / 18卷 / 04期

关键词：

Complex differential equation; Fatou set; Hyper-order; SHARE ONE VALUE;

D O I：

10.11650/tjm.18.2014.3902

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that the transcendental entire solution of complex linear differential equation f((k)) - e(P(z)) f = Q(z), where P(z) is a transcendental entire function and Q (z) is a polynomial, is of infinite hyper-order under the hypothesis that the Fatou set of P (z) has a multiply connected component.

引用

页码：1063 / 1069

页数：7

共 20 条

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