{
  "id": "2409.12591",
  "version": "v1",
  "published": "2024-09-19T09:14:22.000Z",
  "updated": "2024-09-19T09:14:22.000Z",
  "title": "Uniform upper bounds and asymptotic expansions for certain index kernels",
  "authors": [
    "Semyon Yakubovich"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We continue to establish uniform upper bounds and asymptotic expansions for the kernels of the index transforms which were recently developed for the Kontorovich-Lebedev operator. It involves the Mehler-Fock, Lebedev, index Whittaker and Olevskii transforms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-19T09:14:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A15",
      "41A60",
      "33C10",
      "33C15"
    ],
    "keywords": [
      "asymptotic expansions",
      "index kernels",
      "establish uniform upper bounds",
      "olevskii transforms",
      "index whittaker"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}