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.

引用

页码：133 / 147

页数：15

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