{
  "abstract": "We study a class of strongly starlike mappings of order $α$ on the open unit ball of a complex Banach space under a scalar-profile condition. Using a slice reduction along one-dimensional complex subspaces, we prove a coefficient correspondence theorem identifying the directional coefficients with the Taylor coefficients of an associated one-variable strongly starlike function. We further prove a lifting theorem showing that every one-variable strongly starlike function can be realized by a scalar-profile Banach-space mapping. Consequently, the extremal problems for polynomial directional coefficient functionals coincide exactly with their one-variable counterparts. We apply this correspondence to obtain bounds for $|A_2A_3 - A_4|$, $|A_2A_4 - A_3^2|$, and $|A_3 - A_2^2|$, together with the corresponding estimates for $|A_4|$ and $|A_5|$. We also establish a parameterized Fekete--Szegő estimate and a sharp bound for the second Hankel determinant of directional logarithmic coefficients.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20849",
  "author_total": 2,
  "authors": [
    {
      "name": "Pradip Das"
    },
    {
      "name": "Nabadwip Sarkar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fy2ep7es30d9e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20849",
  "fulltext_url": null,
  "id": "fy2ep7es30d9e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20849",
  "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": "W7222532103",
  "pdf_url": "https://arxiv.org/pdf/2610.20849",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fy2ep7es30d9e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.20849",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20849"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Directional Coefficient Inequalities for Strongly Starlike Mappings in Complex Banach Spaces",
  "title_text": "Directional Coefficient Inequalities for Strongly Starlike Mappings in Complex Banach Spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/fy2ep7es30d9e",
  "venue": "arXiv",
  "versions": []
}