{
  "abstract": "This paper presents a study of the Weber-Schafheitlin integral and its connections to random walk theory. The Weber-Schafheitlin integral, defined as the improper integral of a product of Bessel functions, arises naturally in the evaluation of probability distributions for multidimensional random walks. This work bridges pure special function theory with applied probability.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06748",
  "author_total": 2,
  "authors": [
    {
      "name": "O. I. Marichev"
    },
    {
      "name": "E. L. Shishkina"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/00pcf1ffpsf5w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06748",
  "fulltext_url": null,
  "id": "00pcf1ffpsf5w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06748",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Mathematical functions and polynomials"
    ]
  ],
  "openalex": "W7212049557",
  "pdf_url": "https://arxiv.org/pdf/2609.06748",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/00pcf1ffpsf5w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.06748",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06748"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Random walk and Weber-Schafheitlin integral: generalizations and discussion",
  "title_text": "Random walk and Weber-Schafheitlin integral: generalizations and discussion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/00pcf1ffpsf5w",
  "venue": "arXiv",
  "versions": []
}