{
  "abstract": "In the present paper, we derive sharp bounds for Schippers–Schwarzian derivatives of functions belonging to the two core Ma–Minda subclasses associated with the canonical half-plane majorant ψ(z)=1+z1−z: the convex class C(ψ) and starlike class S*(ψ), and the generalized Robertson class SPα(β). All derivations avoid Carathéodory coefficients cn; we only express the Taylor coefficients of Schwarz functions via Schur polynomials Fk(γ1,…,γk), then reduce each functional to a single-variable optimization, and construct explicit extremal Schwarz kernels as well as integral-form extremal univalent mappings.",
  "abstract_shown": true,
  "affiliations": [
    "School of Big Data and Artificial Intelligence, Chizhou University, Chizhou 247000, China",
    "School of Mathematics and Systems Science, Liaocheng University, Liaocheng 252000, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Hong Wang",
      "orcid": "0000-0003-1077-1020"
    },
    {
      "affs": [
        1
      ],
      "name": "Xiaoyuan Wang",
      "orcid": "0000-0002-6550-8046"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bmsanemphr2dd.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100783",
  "fulltext_url": null,
  "id": "bmsanemphr2dd",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/783",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Analytic and geometric function theory"
    ]
  ],
  "openalex": "W7222946150",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/bmsanemphr2dd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100783",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/783"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Analytic and geometric function theory",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Sharp Bounds for Schippers–Schwarzian Derivatives via the Schur-Parameter Method",
  "title_text": "Sharp Bounds for Schippers–Schwarzian Derivatives via the Schur-Parameter Method",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/bmsanemphr2dd",
  "venue": "Axioms",
  "versions": []
}