Orders of solutions of an n-th order linear differential equation with entire coefficients

被引：0

作者：

Belaidi, Benharrat ^{[1
]}

Hamouda, Saada ^{[1
]}

机构：

[1] Univ Mostaganem, Dept Math, Mostaganem, Algeria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年

关键词：

Linear differential equations; entire functions; order of growth;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the solutions of the differential equation f((u)) + A(n) 1(z)f((u-1)) + center dot center dot center dot + A(1) (z)f' + A(0) (z)f =0, where the coefficients are entire functions. We find conditions on the coefficients so that every solution that is not identically zero has infinite order.

引用

页数：5

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