{
  "id": "1905.07706",
  "version": "v1",
  "published": "2019-05-19T08:28:46.000Z",
  "updated": "2019-05-19T08:28:46.000Z",
  "title": "A note on the connection between nonextensive entropy and \\textit{h}-derivative",
  "authors": [
    "Jin-Wen Kang",
    "Keming Shen",
    "Ben-Wei Zhang"
  ],
  "comment": "5 pages, 1 figure",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "With \\textit{h}-derivative which generalizes the conventional Newton-Leibniz calculus, a general two-parameter non-extensive entropy $S_{h,h'}$ is introduced. It is found that $S_{h,h'}$ recovers, as particular cases, several types of non-extensive entropy expressions such as Tsallis entropy, Abe entropy, Shafee entropy, Kaniadakis entropy as well as the Boltzmann-Gibbs one. The corresponding properties of $S_{h,h'}$ are also analyzed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-19T08:28:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonextensive entropy",
      "connection",
      "conventional newton-leibniz calculus",
      "general two-parameter non-extensive entropy",
      "abe entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}