{
  "id": "1410.0927",
  "version": "v1",
  "published": "2014-10-03T17:46:36.000Z",
  "updated": "2014-10-03T17:46:36.000Z",
  "title": "Starlikeness of Bessel functions and their derivatives",
  "authors": [
    "Árpád Baricz",
    "Murat Çağlar",
    "Erhan Deniz"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper necessary and sufficient conditions are deduced for the starlikeness of Bessel functions of the first kind and their derivatives of the second and third order by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some Mittag-Leffler expansions for the derivatives of Bessel functions of the first kind, as well as some results on the zeros of these functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-03T17:46:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C10",
      "30C45"
    ],
    "keywords": [
      "bessel functions",
      "starlikeness",
      "first kind",
      "transcendental entire functions",
      "mittag-leffler expansions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.0927B"
    }
  }
}