{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06292",
  "author_total": 3,
  "authors": [
    {
      "name": "Dong-hai Zhao"
    },
    {
      "name": "Jie Zhang"
    },
    {
      "name": "Liang-wen Liao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/27bz4pgw9dsem.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06292",
  "fulltext_url": null,
  "id": "27bz4pgw9dsem",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06292",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06292",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/27bz4pgw9dsem.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06292",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06292"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Entire solutions of a special binomial differential equation",
  "title_text": "Entire solutions of a special binomial differential equation",
  "type": "preprint",
  "updated_at": "2026-11-07T18:20:08Z",
  "url": "https://research.draconitic.com/paper/27bz4pgw9dsem",
  "venue": "arXiv",
  "versions": []
}