{
  "abstract": "In this paper, we extend some Bohr-Rogosinski type inequalities of analytic functions in $\\mathbb{C}$ to the cases of holomorphic mappings with values in higher-dimensional complex space. First, we obtain the general Bohr-Rogosinski radius for holomorphic mappings with values in the closure of the unit polydisc in $\\mathbb{C} ^n$. Furthermore, we consider the corresponding problems for holomorphic mappings with value in the closure of the unit ball of a JB$^*$-triple. All the radius are optimal.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28357",
  "author_total": 2,
  "authors": [
    {
      "name": "Luyi Zeng"
    },
    {
      "name": "Liangpeng Xiong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dqmxyb4fm18z5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28357",
  "fulltext_url": null,
  "id": "dqmxyb4fm18z5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28357",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "openalex",
      "2608|Analytic and geometric function theory"
    ]
  ],
  "openalex": "W7214146514",
  "pdf_url": "https://arxiv.org/pdf/2609.28357",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dqmxyb4fm18z5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2609.28357",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28357"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Improved Bohr-Rogosinski radius for holomorphic mappings with values in complex Banach spaces",
  "title_text": "Improved Bohr-Rogosinski radius for holomorphic mappings with values in complex Banach spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/dqmxyb4fm18z5",
  "venue": "arXiv",
  "versions": []
}