Existence of meromorphic solutions of some generalized Fermat functional equations

被引：6
|
作者：
Wu, Linlin [1 ]
He, Chun [1 ]
Lu, Weiran [1 ]
Lu, Feng [1 ]
机构：
[1] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
来源：
AEQUATIONES MATHEMATICAE | 2020年 / 94卷 / 01期
关键词：
Existence; Fermat functional equation; Weierstrass rho-function;
D O I：
10.1007/s00010-019-00683-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is twofold. Firstly, we study the non-existence of finite order meromorphic solutions to the Cubic type of Fermat functional equation f(z)3-3 tau f(z)f(z+c)+f(z+c)3=1 In addition, the paper is concerned with the description of finite order entire solutions of the Quadratic type of Fermat functional equation f(z)2-2 mu f(z)f(z+c)+f(z+c)2=1$$f(z)<^>2-2\mu f(z)f(z+c)+f(z+c)<^>2=1$$\end{document}.
引用
收藏
页码：59 / 69
页数：11
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