{
  "id": "2301.04629",
  "version": "v1",
  "published": "2023-01-11T18:32:39.000Z",
  "updated": "2023-01-11T18:32:39.000Z",
  "title": "On some identities for confluent hypergeometric functions and Bessel functions",
  "authors": [
    "Yoshitaka Okuyama"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We find a new integral representation of the Whittaker function of the first kind. We also show relevant summation formulas for Kummer's confluent hypergeometric functions and Bessel functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-11T18:32:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bessel functions",
      "identities",
      "kummers confluent hypergeometric functions",
      "relevant summation formulas",
      "whittaker function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}