{
  "id": "1707.05218",
  "version": "v1",
  "published": "2017-07-02T18:42:40.000Z",
  "updated": "2017-07-02T18:42:40.000Z",
  "title": "Higher derivatives of Airy functions and of their products",
  "authors": [
    "E. G. Abramochkin",
    "E. V. Razueva"
  ],
  "comment": "20 pages. Submitted to Journal of Mathematical Analysis and Applications",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The problem of evaluation of higher derivatives of Airy functions in a closed form is investigated. General expressions for the polynomials which have arised in explicit formulae for these derivatives are given in terms of particular values of Gegenbauer polynomials. Similar problem for products of Airy functions is solved in terms of terminating hypergeometric series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-02T18:42:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C10",
      "33C05",
      "33C20"
    ],
    "keywords": [
      "airy functions",
      "higher derivatives",
      "terminating hypergeometric series",
      "similar problem",
      "gegenbauer polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}