Results on entire and meromorphic solutions for several systems of quadratic trinomial functional equations with two complex variables

被引：30

作者：

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

Jiang, Ye Yang ^{[3
,4
]}

机构：

[1] Gannan Normal Univ, Key Lab Jiangxi Prov Numer Simulat & Emulat Tech, Ganzhou 341000, Jiangxi, Peoples R China

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

[3] Jiangxi Sci & Technol Normal Univ, Sch Math & Comp, Nanchang 330038, Jiangxi, Peoples R China

[4] Univ Eastern Finland, Dept Phys & Math, POB 111, FI-80101 Joensuu, Finland

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nevanlinna theory; Entire function; System of functional equations; Several complex variables; PARTIAL-DIFFERENTIAL-EQUATIONS; THEOREM;

D O I：

10.1007/s13398-021-01154-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish several theorems about the existence and the forms of entire solutions with finite order for some systems of quadratic trinomial functional equations with two complex variables, which are some improvements and generalizations of the previous theorems given by Xu and Cao, Xu, Liu and Li. Moreover, some examples are given show that there are significant differences in the forms of transcendental entire solutions with finite order of some systems of functional equations with complex between two variables and a single variable.

引用

页数：19

共 29 条

[1]

[Anonymous], 1964, Partial differential equations

[2] On the shared values of entire functions and their partial differential polynomials in C-n [J].