{
  "id": "1501.07235",
  "version": "v1",
  "published": "2015-01-28T19:02:35.000Z",
  "updated": "2015-01-28T19:02:35.000Z",
  "title": "Monotonicity of zeros of polynomials orthogonal with respect to a discrete measure",
  "authors": [
    "Dimitar K. Dimitrov"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We prove that all zeros of the polynomials orthogonal with respect to a measure $d \\mu(x;a) = d \\mu(x) + M \\delta(x-a)$, where $d\\mu$ is a nonatomic positive Borel measure and $M>0$, are increasing functions of the mass point $a$. Thus we solve partially an open problem posed by Mourad Ismail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-28T19:02:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomials orthogonal",
      "discrete measure",
      "monotonicity",
      "nonatomic positive borel measure",
      "mourad ismail"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}