Entire Solutions of a Certain Type of Nonlinear Differential-Difference Equations

被引：0
|
作者：
Hao, Wen-Jie [1 ,2 ]
Chen, Jun-Fan [2 ]
机构：
[1] Renmin Univ China, Sch Math, Beijing 100872, Peoples R China
[2] Fujian Normal Univ, Sch Math & Stat, Fuzhou 350117, Peoples R China
来源：
ACTA MATHEMATICA VIETNAMICA | 2022年 / 47卷 / 04期
关键词：
Nonlinear differential-difference equation; Transcendental entire solution; Nevanlinna theory; Order; MEROMORPHIC SOLUTIONS;
D O I：
10.1007/s40306-021-00464-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the paper is to investigate all transcendental entire solutions of the following general nonlinear equation of the form f(n) + P-d (z, f) = p1e(alpha 1z) + p2e(alpha 2z), where P-d (z, f) is a differential-difference polynomial in f of degree d. Our result is a generalization and complement of known results obtained by Liu-Mao, Lu et al. and the references therein.
引用
收藏
页码：731 / 741
页数：11
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