{
  "id": "1709.03037",
  "version": "v1",
  "published": "2017-08-29T16:34:23.000Z",
  "updated": "2017-08-29T16:34:23.000Z",
  "title": "Exploring the zeros of real self-reciprocal polynomials by Chebyshev polynomials",
  "authors": [
    "Vanessa Botta"
  ],
  "comment": "11 pages; Paper presented at 14th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA 2017)",
  "categories": [
    "math.CA",
    "math.NA"
  ],
  "abstract": "In this paper we present some classes of real self-reciprocal polynomials with at most two zeros outside the unit circle which are connected with a Chebyshev quasi-orthogonal polynomials of order one. We investigated the distribution, simplicity and monotonicity of their zeros around the unit circle and real line.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-29T16:34:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26C10",
      "12D10",
      "30C15"
    ],
    "keywords": [
      "real self-reciprocal polynomials",
      "chebyshev polynomials",
      "unit circle",
      "chebyshev quasi-orthogonal polynomials",
      "zeros outside"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}