{
  "id": "2104.01204",
  "version": "v1",
  "published": "2021-04-02T19:12:25.000Z",
  "updated": "2021-04-02T19:12:25.000Z",
  "title": "Sharp bounds of Hankel determinants of second and third order for inverse functions of certain class of univalent functions",
  "authors": [
    "Milutin Obradović",
    "Nikola Tuneski"
  ],
  "categories": [
    "math.CV"
  ],
  "abstract": "Let ${\\mathcal A}$ be the class of functions that are analytic in the unit disc ${\\mathbb D}$, normalized such that $f(z)=z+\\sum_{n=2}^\\infty a_nz^n$, and let class ${\\mathcal U}(\\lambda)$, $0<\\lambda\\le1$, consists of functions $f\\in{\\mathcal A}$, such that \\[ \\left |\\left (\\frac{z}{f(z)} \\right )^{2}f'(z)-1\\right | < \\lambda\\quad (z\\in {\\mathbb D}). \\] In this paper we determine the sharp upper bounds for the Hankel determinants of second and third order for the inverse functions of functions from the class ${\\mathcal U}(\\lambda)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-02T19:12:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C45",
      "30C55"
    ],
    "keywords": [
      "hankel determinants",
      "third order",
      "inverse functions",
      "sharp bounds",
      "univalent functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}