{
  "abstract": "Indefinite integrals are found for 63 half-integer Bessel and Struve functions, and incomplete gamma functions with integer indices, each multiplied by $Exp(-ax^{2})$ and divided by powers. A series solution is given for the individual terms (of any inverse power) in such functions, split into even and odd portions. Eight integrals are given involving these series. Three infinite sets of auxiliary integrals are also given.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.14751",
  "author_total": 1,
  "authors": [
    {
      "name": "Jack C. Straton"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/56d1c54ef7996.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.14751",
  "fulltext_url": null,
  "id": "56d1c54ef7996",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.14751",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GM"
    ],
    [
      "openalex",
      "2604|Mathematical functions and polynomials"
    ]
  ],
  "openalex": "W7203683027",
  "pdf_url": "https://arxiv.org/pdf/2608.14751",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/56d1c54ef7996.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:28Z",
      "native_id": "2608.14751",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.14751"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GM",
      "subfield": "general"
    }
  ],
  "title": "Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all multiplied by $Exp(-ax^{2})$ and divided by powers",
  "title_text": "Indefinite integrals of Bessel and Struve functions with half-integer indices, and incomplete gamma functions with integer indices, all multiplied by Exp(−ax^2) and divided by powers",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:38Z",
  "url": "https://research.draconitic.com/paper/56d1c54ef7996",
  "venue": "arXiv",
  "versions": []
}