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Strong asymptotics for orthogonal polynomials

Part of the Lecture Notes in Mathematics book series (LNM,volume 1550)

Keywords

  • Analytic Continuation
  • Orthogonal Polynomial
  • Imaginary Axis
  • Equilibrium Measure
  • Extremal Property

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References

  1. V.S. Bujarov, On Logarithmic Asymptotics for Polynomials Orthogonal on ℝ with nonsymmetric weights, Mat. Zametki 50 no. 2 (1991), pp. 28–36. (In Russian)

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  2. A.A. Gonchar and E.A. Rakhmanov, Equilibrium measure and the distribution of Zeros of Extrenial Polynomials, Math. USSR Sbornik 53 (1986), pp. 119–130; Transl. from Russian 125(167) no. 1 (1984).

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  3. G.Lopez and E.A.Rakhmanov, Rational Approximations, Orthogonal Polynomials and Equilibrium distributions, Lecture Notes in Math. 1329 (1988); Proceedings of Segovia (1986.).

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  9. E.A. Rakhmanov, On Asymptotic Properties of Polynomials Orthogonal on the Real Axis, Dokladi of Acad. of Sci. of USSR 261 No2 (1981), pp. 282–284. (In Russian)

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  10. E.A. Rakhmanov, On Asymptotic Properties of Polynomials Orthogonal on the Real Axis, Math. USSR Sb. 47 (1984), pp. 155–193; Transl. from Russian 119 (161) (1982), pp. 163–203.

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  11. E.A. Rakhmanov, “Asymptotic Properties of Orthogonal Polynomials”, Doctoral Thesis,, Steklov Math Inst, Moscow, 1983.

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  12. R.C. Sheen, “Orthogonal Polynomials Associated with exp(-x 6/6)”., Ph.D. dissertation, Ohio State University, Columbus, 1984.

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© 1993 The Euler International Mathematical Institute

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Rakhmanov, E.A. (1993). Strong asymptotics for orthogonal polynomials. In: Gonchar, A.A., Saff, E.B. (eds) Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Lecture Notes in Mathematics, vol 1550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117475

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  • DOI: https://doi.org/10.1007/BFb0117475

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56931-2

  • Online ISBN: 978-3-540-47792-1

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