{
  "id": "0908.3816",
  "version": "v2",
  "published": "2009-08-26T13:21:40.000Z",
  "updated": "2009-10-04T13:35:45.000Z",
  "title": "Mittag-Leffler Functions to Pathway Model to Tsallis Statistics",
  "authors": [
    "A. M. Mathai",
    "H. J. Haubold"
  ],
  "comment": "Plain TeX, 10 pages, typo corrected",
  "journal": "Integral Transforms and Special Functions 21(2010)867-875",
  "categories": [
    "cond-mat.stat-mech",
    "math.CA"
  ],
  "abstract": "In reaction rate theory, in input-output type models and in reaction-diffusion problems when the total derivatives are replaced by fractional derivatives the solutions are obtained in terms of Mittag-Leffler functions and their generalizations. When fractional calculus enters into the picture the solutions of these problems, usually available in terms of hypergeometric functions, G and H-functions, switch to Mittag-Leffler functions and their generalizations into Wright functions. In this paper, connections are established among generalized Mittag-Leffler functions, pathway model, Tsallis statistics, superstatisitcs and power law, and among the corresponding entropic measures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-04T13:35:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tsallis statistics",
      "pathway model",
      "reaction rate theory",
      "input-output type models",
      "fractional calculus enters"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "Plain TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.3816M"
    }
  }
}