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Entire Solutions of Fermat-Type Partial Differential-Difference Equations in $\mathbb{C}^2$
Received:April 03, 2024
Revised:June 27, 2024
Key Words
:
Fermat-type
entire solution
partial differential-difference equation
Fund Project
:
Supported by the National Natural Science Foundation of China (Grant No.11971344).
Author Name
Affiliation
Caoqiang TANG
School of Mathematical Sciences
,
Suzhou University of Science and Technology
,
Jiangsu 215009
,
P. R. China
Zhigang HUANG
School of Mathematical Sciences
,
Suzhou University of Science and Technology
,
Jiangsu 215009
,
P. R. China
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Abstract
:
In this paper, we mainly investigate the forms of entire solutions for certain Fermat-type partial differential-difference equations in $\mathbb{C}^2$ by using Nevanlinna's theory of several complex variables.
Citation:
DOI
:
10.3770/j.issn:2095-2651.2025.01.006
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