On entire solutions of system of Fermat-type difference and partial differential-difference equations in Cn

被引：0
|
作者：
Haldar, Goutam [1 ,2 ]
机构：
[1] Malda Coll, Dept Math, Malda 732101, West Bengal, India
[2] Ghani Khan Choudhury Inst Engn & Technol, Dept Math, Malda 732141, West Bengal, India
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 04期
关键词：
Entire solutions; Fermat-type; Differential difference equations; Nevanlinna theory; THEOREM; LEMMA;
D O I：
10.1007/s12215-023-00997-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The equation f(z)(n)+g(z)(n)=1, n is an element of N can be regarded as the Fermat Diophantine equation over the function field. In this paper we study the characterization of entire solutions of some system of Fermat type functional equations by taking e(g1(z)) and e(g2(z) )in the right hand side of each equation, where g(1)(z) and g(2)(z)are polynomials in C-n . Our results extend and generalize some recent results. Moreover, some examples have been exhibited to show that our results are precise to some extent.
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页码：1467 / 1490
页数：24
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