TRANSCENDENTAL ENTIRE SOLUTIONS OF SEVERAL FERMAT TYPE PDES AND PDDES WITH TWO COMPLEX VARIABLES

被引：4

作者：

Xu, Hong Yan ^{[1
]}

Tu, Jin ^{[2
]}

Wang, Hua ^{[3
]}

机构：

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

[2] Jiangxi Normal Univ, Sch Math & Stat, Nanchang, Jiangxi, Peoples R China

[3] Jingdezhen Ceram Inst, Sch Informat & Engn, Jingdezhen, Jiangxi, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fermat equation; entire function; partial differential-difference equation; PARTIAL-DIFFERENTIAL-EQUATIONS; MEROMORPHIC SOLUTIONS; THEOREM; LEMMA;

D O I：

10.1216/rmj.2021.51.2217

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is concerned with the description of transcendental entire solutions of several Fermat type functional equations in C-2 concerning partial differential-difference equations and partial differential equations. By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we establish some results about the existence and the forms of entire solutions for such equations, which are some improvements and generalizations of the previous theorems. Moreover, some examples are given illustrating that our results are precise to some extent.

引用

页码：2217 / 2235

页数：19

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