{
  "id": "0704.1716",
  "version": "v1",
  "published": "2007-04-13T08:23:48.000Z",
  "updated": "2007-04-13T08:23:48.000Z",
  "title": "One-parameter families of functions in the Pick class",
  "authors": [
    "Waldemar Paluba"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In the one-parameter family of power-law maps of the form $f_a(x)=-|x|^{\\alpha}+a,$ $\\alpha >1,$ we give examples of mutually related dynamically determined quantities, depending on the parameter $a$, such that one is a Pick function of the following one. These Pick functions are extendable by reflection through the $(1,+\\infty)$ half-axis and have completely monotone derivatives there.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-13T08:23:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30C20",
      "37F45"
    ],
    "keywords": [
      "one-parameter family",
      "pick class",
      "pick function",
      "power-law maps",
      "monotone derivatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.1716P"
    }
  }
}