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Entire solutions of a special binomial differential equation
Abstract
We consider the binomial differential equation ff'−a(f'')2=be2c, where a(z), b(z), c(z) are polynomials such that b(z)not≡ 0 and c(z) is non-constant. In this paper, we determine all entire solutions of this equation.
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BibTeX
@misc{zhao2026entire,
title = {{Entire solutions of a special binomial differential equation}},
author = {Dong-hai Zhao and Jie Zhang and Liang-wen Liao},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06292},
eprint = {2611.06292},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06292},
}
RIS
TY - UNPB
TI - Entire solutions of a special binomial differential equation
AU - Dong-hai Zhao
AU - Jie Zhang
AU - Liang-wen Liao
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06292
UR - https://arxiv.org/abs/2611.06292
AB - 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≡ 0 and c(z) is non-constant. In this paper, we determine all entire solutions of this equation.
ER -