{
  "id": "1801.05625",
  "version": "v1",
  "published": "2018-01-17T11:43:20.000Z",
  "updated": "2018-01-17T11:43:20.000Z",
  "title": "Orthogonality from linear combination of $R_I$ polynomials",
  "authors": [
    "Kiran Kumar Behera",
    "A. Swaminathan"
  ],
  "comment": "15 pages, 2 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, a sequence of linear combination of $R_{I}$ type polynomials such that the terms in this sequence have a common zero is constructed. A biorthogonality relation arising from such a sequence is discussed. Besides a sequence of para-orthogonal polynomials by removing the common zero using suitable conditions is obtained. Finally, a case of hypergeometric functions is studied to illustrate the results obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-17T11:43:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "15A18",
      "33C45"
    ],
    "keywords": [
      "linear combination",
      "common zero",
      "type polynomials",
      "hypergeometric functions",
      "para-orthogonal polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}