Solutions of certain complex linear differential equations

被引：0
作者：
Ahmed, A. El-Sayed [1 ,2 ]
Omran, Saleh [1 ,3 ]
机构：
[1] Mathematics Department El-Hawiyah, Faculty of Science, Taif University, El-Taif
[2] Department of Mathematics, Faculty of Science, Sohag University, Sohag
[3] Department of Mathematics, Faculty of Science, South Valley University, Qena
来源：
Journal of Computational and Theoretical Nanoscience | 2015年 / 12卷 / 11期
关键词：
Analytic functions; Complex linear differential equation; Growth order;
D O I：
10.1166/jctn.2015.4351
中图分类号：
学科分类号：
摘要：
In this paper, we define some weighted classes of analytic function spaces in the unit disk. As an application of the new defined classes, we study the growth of solutions of a linear differential equation by coefficients of analytic functions. Moreover, we give several non-trivial examples in order to show that the established results are in some sense sharp. © 2015 American Scientific Publishers.
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页码：4272 / 4278
页数：6
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