Study of the growth properties of meromorphic solutions of higher-order linear difference equations

被引：2

作者：

Belaidi, Benharrat ^{[1
]}

Bellaama, Rachid ^{[1
]}

机构：

[1] Univ Mostaganem UMAB, Lab Pure & Appl Math, Dept Math, BP 227, Mostaganem, Algeria

来源：

ARABIAN JOURNAL OF MATHEMATICS | 2021年 / 10卷 / 02期

关键词：

30D35; 39B32; 39A10;

D O I：

10.1007/s40065-021-00324-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the growth of meromorphic solutions of homogeneous and nonhomogeneous linear difference equations A(k) (z) f (z + c(k))+ ... + A(1)(z) f (z + c(1)) + A(0)(z) f (z) = 0, A(k) (z) f (z + c(k))+ ... + A(1)(z) f (z + c(1)) + A(0)(z) f (z) = F, where A(k) (z),..., A(0) (z), F (z) are meromorphic functions and c(j) (1,..., k) are non-zero distinct complex numbers. Under some conditions on the coefficients, we extend early results due to Zhou and Zheng, Belaidi and Benkarouba.

引用

页码：311 / 330

页数：20