Entire solutions for several general quadratic trinomial differential difference equations

被引：9

作者：

Luo, Jun ^{[1
,2
]}

Xu, Hong Yan ^{[1
,2
,3
]}

Hu, Fen ^{[2
]}

机构：

[1] Jingdezhen Ceram Univ, Sch Engn, Jingdezhen 333403, Jiangxi, Peoples R China

[2] Jingdezhen Vocat Univ Art, Sch Engn, Jingdezhen 333403, Jiangxi, Peoples R China

[3] Shangrao Normal Univ, Sch Math & Comp Sci, Shangrao 334001, Jiangxi, Peoples R China

来源：

OPEN MATHEMATICS | 2021年 / 19卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nevanlinna theory; entire solution; differential difference equation;

D O I：

10.1515/math-2021-0080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms. Some results about the forms of entire solutions for these equations are some extensions and generalizations of the previous theorems given by Liu, Yang and Cao. We also give a series of examples to explain the existence of the finite order transcendental entire solutions of such equations.

引用

页码：1018 / 1028

页数：11

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