{
  "id": "1501.07090",
  "version": "v1",
  "published": "2015-01-28T12:56:07.000Z",
  "updated": "2015-01-28T12:56:07.000Z",
  "title": "Some numerical results on the behavior of zeros of the Hermite-Padé polynomials",
  "authors": [
    "N. R. Ikonomov",
    "R. K. Kovacheva",
    "S. P. Suetin"
  ],
  "comment": "Bibliography: 71 titles; 79 pictures",
  "categories": [
    "math.CV"
  ],
  "abstract": "We introduce and analyze some numerical results obtained by the authors experimentally. These experiments are related to the well known problem about the distribution of the zeros of Hermite--Pad\\'e polynomials for a collection of three functions $[f_0 \\equiv 1,f_1,f_2]$. The numerical results refer to two cases: a pair of functions $f_1,f_2$ forms an Angelesco system and a pair of functions $f_1=f,f_2=f^2$ forms a (generalized) Nikishin system. The authors hope that the obtained numerical results will set up a new conjectures about the limiting distribution of the zeros of Hermite--Pad\\'e polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-28T12:56:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30E10",
      "41A21"
    ],
    "keywords": [
      "hermite-pade polynomials",
      "nikishin system",
      "distribution",
      "numerical results refer",
      "angelesco system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150107090I"
    }
  }
}