{
  "abstract": "We study the boundary geometry of the Noshiro--Warschawski class $\\mathcal{R}$. Using the geometric structure of close-to-convex domains and their relation to Loewner chains, we investigate the boundary behavior of functions in $\\mathcal{R}$. In particular, we discuss the relation between spherical length and local connectedness, and show that the boundary of the image domain of a function in $\\mathcal{R}$ need not be locally connected. We also revisit the classical fact that $\\mathcal{R}$ is not contained in the class $\\mathcal{S}^{*}$ of starlike functions and give a simple explicit example of a function in $\\mathcal{R}\\setminus\\mathcal{S}^*$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20988",
  "author_total": 3,
  "authors": [
    {
      "name": "Shota Hoshinaga"
    },
    {
      "name": "Ikkei Hotta"
    },
    {
      "name": "Li-Mei Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/53z0atd86cz56.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20988",
  "fulltext_url": null,
  "id": "53z0atd86cz56",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20988",
  "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",
      "2608|Analytic and geometric function theory"
    ]
  ],
  "openalex": "W7213890441",
  "pdf_url": "https://arxiv.org/pdf/2609.20988",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/53z0atd86cz56.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.20988",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20988"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Boundary geometry and linear accessibility of functions with positive real derivative",
  "title_text": "Boundary geometry and linear accessibility of functions with positive real derivative",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/53z0atd86cz56",
  "venue": "arXiv",
  "versions": []
}