Admissible meromorphic solutions of algebraic differential-difference equations

被引：3

作者：

Wang, Qiong-Yan ^{[1
]}

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 09期

关键词：

admissible solution; differential-difference equation; hyper-order; Nevanlinna theory; GROWTH;

D O I：

10.1002/mma.5564

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using Nevanlinna theory, we generalize a result given by Wittich to complex differential-difference equations. The result obtained is that the differential-difference equation in f which is of only one dominant term, has no admissible meromorphic solution f with hyper-order less than 1 provided N(r,f) = S(r,f).

引用

页码：3044 / 3053

页数：10

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