On [p, q]-Order of Growth of Solutions of Complex Linear Differential Equations near a Singular Point

被引：2

作者：

Long, Jianren ^{[1
]}

Zeng, Sangui ^{[1
]}

机构：

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

来源：

FILOMAT | 2019年 / 33卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Complex differential equation; p; q]-order of growth; q]-type; analytic function; near a singular point;

D O I：

10.2298/FIL1913013L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the [p, q]-order of growth of solutions of the following complex linear differential equation f((k)) + A(k-1)(z) f((k-1)) + ... + A(1)(z)f' + A(0)(z)f = 0, where A(j)(z) are analytic in (C) over bar - {z(0)}, z(0) is an element of C. Some estimations of [p, q]-order of growth of solutions of the equation are obtained, which is generalization of previous results from Fettouch-Hamouda.

引用

页码：4013 / 4020

页数：8

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