{
  "abstract": "We establish new pointwise optimal estimates for a class of Bessel functions associated with Helmholtz equations. The estimates are explicit in the wavenumber k and reveal a nontrivial frequency dependence: the corresponding stability constants are not uniform with respect to k. These results may be of independent interest and provide foundational analytical tools for establishing the optimal stability estimates for Neumann scattering problems developed in",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Mohamed Amara"
    },
    {
      "name": "Rabia Djellouli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9ghzagj9vhd7s.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "9ghzagj9vhd7s",
  "issns": [],
  "landing_url": "https://univ-pau.hal.science/hal-05849561v1",
  "language": "en",
  "licence": "CC-BY-NC-4.0",
  "licence_label": "CC BY-NC 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
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      "hal",
      "0.phys"
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  "openalex": null,
  "pdf_url": "https://univ-pau.hal.science/hal-05849561/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9ghzagj9vhd7s.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T12:20:54Z",
      "native_id": "hal-05849561",
      "source": "hal",
      "url": "https://univ-pau.hal.science/hal-05849561v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    },
    {
      "field": "physics",
      "origin": "hal:0.phys",
      "subfield": "general"
    }
  ],
  "title": "Pointwise optimal estimates for bessel functions with explicit wavenumber dependence",
  "title_text": "Pointwise optimal estimates for bessel functions with explicit wavenumber dependence",
  "type": "preprint",
  "updated_at": "2026-11-10T12:20:54Z",
  "url": "https://research.draconitic.com/paper/9ghzagj9vhd7s",
  "venue": "HAL",
  "versions": []
}