{
  "id": "cond-mat/9809183",
  "version": "v1",
  "published": "1998-09-13T07:09:34.000Z",
  "updated": "1998-09-13T07:09:34.000Z",
  "title": "Self-Similar Exponential Approximants",
  "authors": [
    "V. I. Yukalov",
    "S. Gluzman"
  ],
  "comment": "1 file, 37 pages, RevTex, 1 table",
  "journal": "Phys.Rev. E58 (1998) 1359-1382",
  "doi": "10.1103/PhysRevE.58.1359",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "An approach is suggested defining effective sums of divergent series in the form of self-similar exponential approximants. The procedure of constructing these approximants from divergent series with arbitrary noninteger powers is developed. The basis of this construction is the self-similar approximation theory. Control functions governing the convergence of exponentially renormalized series are defined from stability and fixed-point conditions and from additional asymptotic conditions when the latter are available. The stability of the calculational procedure is checked by analyzing cascade multipliers. A number of physical examples for different statistical systems illustrate the generality and high accuracy of the approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-13T07:09:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-similar exponential approximants",
      "divergent series",
      "self-similar approximation theory",
      "additional asymptotic conditions",
      "arbitrary noninteger powers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 487658
    }
  }
}