On entire solutions of two kinds of quadratic trinomial Fermat type functional equations
Classical Analysis and ODEs
2025-10-16 v1 Complex Variables
Abstract
The existence of entire solutions to quadratic trinomial Fermat type differential-difference equations and -difference differential equations involving second-order derivatives is studied by using Nevanlinna theory, and the exact form of entire solutions of the equations mentioned above is founded. Furthermore, some examples are given to show these results.
Keywords
Cite
@article{arxiv.2510.13492,
title = {On entire solutions of two kinds of quadratic trinomial Fermat type functional equations},
author = {Xuxu Xiang and Jianren Long},
journal= {arXiv preprint arXiv:2510.13492},
year = {2025}
}