Growth of Solutions of Complex Differential Equations with Solutions of Another Equation as Coefficients

被引：0
作者：
Jianren Long
Tingmi Wu
Xiubi Wu
机构：
[1] Guizhou Normal University,School of Mathematical Sciences
来源：
Computational Methods and Function Theory | 2019年 / 19卷
关键词：
Complex differential equation; Entire function; Infinite order; Asymptotic growth; Primary 34M10; Secondary 30D35;
D O I：
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学科分类号：
摘要：
We study the growth of solutions of f′′+A(z)f′+B(z)f=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f''+A(z)f'+B(z)f=0$$\end{document}, where A(z) and B(z) are non-trivial solutions of another second-order complex differential equations. Some conditions guaranteeing that every non-trivial solution of the equation is of infinite order are obtained, in which the notion of accumulation rays of the zero sequence of entire functions is used.
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页码：3 / 16
页数：13
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