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arXiv · 2510.13492

On entire solutions of two kinds of quadratic trinomial Fermat type functional equations

Jiayi Dan·Xuxu Xiang
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Abstract

The existence of entire solutions to Fermat type differential-difference equations and \(q\)-difference differential equations involving second-order derivatives is investigated by using Nevanlinna theory. The exact forms of the entire solutions to these equations mentioned above are identified. These results represent a generalization and improvement of previous findings obtained by Gong et al. [Bull. Iran. Math. Soc. 51, 17 (2025)]. Furthermore, some examples are provided to illustrate these results.

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Jiayi Dan, Xuxu Xiang. 2025-10-15. On entire solutions of two kinds of quadratic trinomial Fermat type functional equations. https://arxiv.org/abs/2510.13492

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