The zeros of linear combinations of orthogonal polynomials

  • Authors:

  • A. F. Beardon;K. A. Driver

  • Affiliations:

  • Centre for Mathematical Studies, University of Cambridge, Wilberforce Rd, Cambridge CB3 0WB, UK;The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, Private Bag 3, Johannnesburg 2050, South Africa

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2005

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Abstract

Let {p"n} be a sequence of monic polynomials with p"n of degree n, that are orthogonal with respect to a suitable Borel measure on the real line. Stieltjes showed that if m