{
  "abstract": "In this paper, we study biholomorphic mappings $F: \\mathbb{B} \\to X$ of the form $F(z) = f(z)z$ for $z \\in \\mathbb{B}$, where $f: \\mathbb{B} \\to \\mathbb{C}$ is a holomorphic function satisfying $f(0) = 1$. Our main contributions are as follows: We establish sharp estimates for the coefficients of starlike functions of order $α$ as well as quasi-convex functions of type $B$ and order $α$ by employing the notion of majorization. The results established here directly extend the results due to Robertson \\cite{Robertson-1936} to the broader setting of complex Banach spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13869",
  "author_total": 3,
  "authors": [
    {
      "name": "Sujoy Majumder"
    },
    {
      "name": "Abhijit Banerjee"
    },
    {
      "name": "Goutam Haldar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6k54tr6k4x5tc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13869",
  "fulltext_url": null,
  "id": "6k54tr6k4x5tc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13869",
  "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": "W7221575620",
  "pdf_url": "https://arxiv.org/pdf/2610.13869",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6k54tr6k4x5tc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13869",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13869"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp Robertson-type coefficient estimates for radial starlike and quasi-convex of type B mappings of order α in complex Banach spaces",
  "title_text": "Sharp Robertson-type coefficient estimates for radial starlike and quasi-convex of type B mappings of order α in complex Banach spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/6k54tr6k4x5tc",
  "venue": "arXiv",
  "versions": []
}