• 제목/요약/키워드: asymptotic behavior of extreme zeros

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ON THE EXTREME ZEROS OF ORTHOGONAL POLYNOMIALS

  • Kwon, K.H.;Lee, D.W.
    • 대한수학회지
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    • 제36권3호
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    • pp.489-507
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    • 1999
  • We investigate the asymptotic behavior of the extreme zeros of orthogonal polynomials with respect to a positive measure d$\alpha$(x) in terms of the three term recurrence coefficients. We then show that the asymptotic behavior of extreme zeros of orthogonal polynomials with respect to g(x)d$\alpha$(x) is the same as that of extreme zeros of orthogonal polynomials with respect to d$\alpha$(x) when g(x) is a polynomial with all zeros in a certain interval determined by d$\alpha$(x). several illustrating examples are also given.

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