{
  "abstract": "In this note, we present an integral representation of the $k$-generalized Fibonacci sequence and provide a proof using contour integration. This representation enables the derivation of several known identities and a Binet-type formula related to the $k$-generalized Fibonacci sequence.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: The Fibonacci Quarterly, 64 (2026), no. 3, 501-509",
  "arxiv": "2609.25106",
  "author_total": 4,
  "authors": [
    {
      "name": "Bikash Chakraborty"
    },
    {
      "name": "Kalyan Barman"
    },
    {
      "name": "Soumon Roy"
    },
    {
      "name": "Ritam Sinha"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/86b3yzq7zny2v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25106",
  "fulltext_url": null,
  "id": "86b3yzq7zny2v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25106",
  "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"
    ],
    [
      "arxiv",
      "math.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.25106",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/86b3yzq7zny2v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25106",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25106"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "An Integral Representation of the Generalized Fibonacci Numbers",
  "title_text": "An Integral Representation of the Generalized Fibonacci Numbers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/86b3yzq7zny2v",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1080/00150517.2025.2540644",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}