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.
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页数：5
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