On [p,q]-order of growth of solutions of linear differential equations in the unit disc

被引：0

作者：

Qin, Hongyan ^{[1
]}

Long, Jianren ^{[1
]}

Li, Mingjin ^{[1
]}

机构：

[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550025, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 11期

基金：

中国国家自然科学基金;

关键词：

linear differential equations; unit disc; p; q]-order; bounded point; ITERATED ORDER;

D O I：

10.3934/math.2021743

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The [p, q]-order of growth of solutions of the following linear di fferential equations (**) is investigated, f((k)) + A(k-1)(z)f((k-1)) + ... + A(1)(z)f' + A(0)(z)f = 0, (**) where A(i)(z) are analytic functions in the unit disc, i = 0; 1; ..., k - 1. Some estimations of [ p; q]-order of growth of solutions of the equation (**) are obtained when A(j)(z) dominate the others coe fficients near a point on the boundary of the unit disc, which is generalization of previous results from S. Hamouda.

引用

页码：12878 / 12893

页数：16

共 29 条

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