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Strong asymptotics for orthogonal polynomials

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Methods of Approximation Theory in Complex Analysis and Mathematical Physics

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

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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)

    MathSciNet  Google Scholar 

  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).

    Article  MATH  Google Scholar 

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

    Google Scholar 

  4. D.S.Lubinsky and E.B.Saff, Strong Asymptotics for Extremal Polynomials Associated with Weights on ℝ, Lecture Notes in Math. 1305 (1986).

    Google Scholar 

  5. D.S. Lubinsky, Strong Asymptotics for Extremal Errors and Polynomials Associated with Erdös-type Weights, Pitman Reseach Notes in Mathematics Series 202 (1989).

    Google Scholar 

  6. P. Nevai, Asymptotics for Orthogonal Polynomials Associated with exp(-x 4), SIAM. J. Math. Anal. 15 (1984), 1177–1187.

    Article  MathSciNet  MATH  Google Scholar 

  7. P. Nevai and Gesa Freud, Orthogonal Polynomials and Cristoffel Functions, A Case Study, J. Approx. Theory 48 (1986), pp. 3–167.

    Article  Google Scholar 

  8. N. H. Mhaskar and E. B. Saff, Extremal Problems for Polynomials with Exponential Weights, Trans. Amer. Math. Soc. 286 (1984), pp. 203–234.

    Article  MathSciNet  MATH  Google Scholar 

  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)

    MathSciNet  MATH  Google Scholar 

  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.

    Article  MATH  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Theory of Function of Complex Variable, Steklov Math. Inst., Vavilova, 42, Moscow, Russia

    E. A. Rakhmanov

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  1. E. A. Rakhmanov
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Andrei A. Gonchar Edward B. Saff

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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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