Growth of solutions of a class of linear differential equations with entire coefficients

被引:0
作者
Hamouda, Saada [1 ]
机构
[1] Univ Mostaganem, Dept Math, Lab Pure & Appl Math, Mostaganem, Algeria
来源
NEW YORK JOURNAL OF MATHEMATICS | 2010年 / 16卷
关键词
Linear differential equations; growth of solutions; finite order;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we will investigate the growth of solutions of the linear differential equation f((n)) + Pn-1(z)e(z) f((n-1)) + . . . + P-0(z)e(z) f = 0 where P-0, . . . , Pn-1 are polynomials.
引用
收藏
页码:737 / 747
页数:11
相关论文
共 7 条
[1]  
[Anonymous], 1964, OXFORD MATH MONOGRAP
[2]  
Frei M., 1953, CR HEBD ACAD SCI, V236, P38
[3]   ESTIMATES FOR THE LOGARITHMIC DERIVATIVE OF A MEROMORPHIC FUNCTION, PLUS SIMILAR ESTIMATES [J].
GUNDERSEN, GG .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1988, 37 :88-104
[4]   The possible orders of solutions of linear differential equations with polynomial coefficients [J].
Gundersen, GG ;
Steinbart, EM ;
Wang, SP .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (03) :1225-1247
[5]  
Hamouda Saada, AUSTRAL J M IN PRESS
[6]  
Laine I, 1993, DEGRUYTER STUDIES MA, V15
[7]  
WITTICH H, 1968, ERGEBNISSE MATH IHRE, V8