{
  "abstract": "We investigate sufficient conditions for the close-to-convexity and univalence of planar harmonic mappings. First, we establish a unified monotonicity criterion for harmonic mappings that incorporates the ordinary and odd harmonic cases. We then develop a criterion based on the total variation of successive coefficient differences. Unlike conventional monotonicity conditions, this approach allows the coefficient sequences to exhibit non-monotone behavior. Several previously established criteria for harmonic close-to-convexity are recovered as particular consequences. Applications are developed for harmonic mappings associated with Gaussian hypergeometric functions and Legendre polynomials, with explicit restrictions on their parameters.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02290",
  "author_total": 1,
  "authors": [
    {
      "name": "Jugal Kishore Prajapat"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2zebgpfbvd7pv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02290",
  "fulltext_url": null,
  "id": "2zebgpfbvd7pv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02290",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02290",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2zebgpfbvd7pv.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02290",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02290"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Monotonicity and bounded variation for harmonic mappings with applications to special functions",
  "title_text": "Monotonicity and bounded variation for harmonic mappings with applications to special functions",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:10Z",
  "url": "https://research.draconitic.com/paper/2zebgpfbvd7pv",
  "venue": "arXiv",
  "versions": []
}