{
  "abstract": "In this paper, three ($q$-)log-convexity or concavity properties related to the $d$-Hoggatt numbers are investigated. First, we show that the $d$-Hoggatt transformation preserves the log-convexity of a sequence. We then establish the strong $q$-log-concavity of a $q$-analog of $d$-Hoggatt numbers. Finally, we prove the core result of this work, namely, the sequence of $d$-Hoggatt polynomials is strongly $q$-log-convex, based on the theory of Schur functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.33732",
  "author_total": 2,
  "authors": [
    {
      "name": "Shane Chern"
    },
    {
      "name": "Wenle Shi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6f5rz1f9y36xr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.33732",
  "fulltext_url": null,
  "id": "6f5rz1f9y36xr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.33732",
  "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.CO"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7214725787",
  "pdf_url": "https://arxiv.org/pdf/2609.33732",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6f5rz1f9y36xr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.33732",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.33732"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Strong $q$-log-convexity of the $d$-Hoggatt polynomials",
  "title_text": "Strong q-log-convexity of the d-Hoggatt polynomials",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/6f5rz1f9y36xr",
  "venue": "arXiv",
  "versions": []
}