| 关于一类高阶复微分方程解的增长性 |
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| 引用本文： | 谭 晖,肖丽鹏. 关于一类高阶复微分方程解的增长性[J]. 江西师范大学学报(自然科学版), 2022, 0(4): 335-341. DOI: 10.16357/j.cnki.issn1000-5862.2022.04.02 |
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| 作者姓名： | 谭 晖 肖丽鹏 |
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| 作者单位： | 江西师范大学数学与统计学院,江西 南昌 330022 |
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| 摘 要： | 该文研究了一类高阶线性微分方程f (k)+Ak-1 f (k-1)+…+A1 f '+A0 f=F(z)解的增长性,其中A0,A1,…,Ak-1,F(z)是整函数,并且A0、A1是另一个2阶线性方程的非平凡解. 推广了龙见仁等得到的结果.
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| 关 键 词： | 高阶线性微分方程 整函数 增长级 超级 |
On the Growth of Solutions of a Class of Higher Order Complex Differential Equations |
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| TAN Hui,XIAO Lipeng. On the Growth of Solutions of a Class of Higher Order Complex Differential Equations[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2022, 0(4): 335-341. DOI: 10.16357/j.cnki.issn1000-5862.2022.04.02 |
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| Authors: | TAN Hui XIAO Lipeng |
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| Affiliation: | School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China |
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| Abstract: | In this paper,the growth of solutions of a class of higher order linear differential equations f (k)+Ak-1 ·f k-1+…+A1 f '+A0 f=F(z) is studied,where A0,A1,…,Ak-1,F(z) are entire functions,in addition,A0 and A1 are non-trivial solutions of another second-order linear equation.Previous results which are obtained by Long Jianren,Wu Tingmi and Wu Xiubi are promoted. |
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| Keywords: | higher order linear differential equation entire function the growth order hyper-order |
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