On the hyper-order of solutions of nonhomogeneous linear differential equations

被引：0
|
作者：
Cheriet, Nour El Imane Khadidja [1 ]
Hamani, Karima [1 ]
机构：
[1] Univ Mostaganem UMAB, Lab Pure & Appl Math, Dept Math, BP 227, Moslabelanem, Algeria
来源：
MATHEMATICAL COMMUNICATIONS | 2017年 / 22卷 / 01期
关键词：
Linear differential equation; entire function; hyper-order; GROWTH;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the hyper-order of solutions of higher order linear differential equation f((k)) + A(k-1)(z)integral((k-1)) + ... A(1)(z)integral' + A(0)(z)f = H(z), where k >= 2 is an integer, A(j) (z) (j = 0,1, ..., k-1) and H (z) (not equivalent to 0) are entire functions or polynomials. We improve previous results given by Xu and Cao.
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页码：133 / 147
页数：15
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