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arXiv · 2611.06292

Entire solutions of a special binomial differential equation

Dong-hai Zhao·Jie Zhang·Liang-wen Liao
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Abstract

We consider the binomial differential equation $$ ff'-a(f'')^2=be^{2c},$$ where $a(z)$, $b(z)$, $c(z)$ are polynomials such that $b(z)\not\equiv 0$ and $c(z)$ is non-constant. In this paper, we determine all entire solutions of this equation.

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Dong-hai Zhao, Jie Zhang, Liang-wen Liao. 2026-11-04. Entire solutions of a special binomial differential equation. https://arxiv.org/abs/2611.06292

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