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Asymptotics of Orthonormal Polynomials

  • Eli Levin
  • Doron S. Lubinsky
Chapter
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

We establish asymptotics of orthonormal polynomials on and off the interval of orthogonality, as well as their derivatives and leading coefficients. In addition we present asymptotics for spacing of their zeros, and asymptotics of their Christoffel functions.

References

  1. 25.
    Eli Levin and D. S. Lubinsky, Orthogonal Polynomials for Exponential Weights,Springer, New York, 2001.Google Scholar
  2. 44.
    E. B. Saff and V. Totik, Logarithmic Potentials with External Fields, Springer, New York, 1997.Google Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Eli Levin
    • 1
  • Doron S. Lubinsky
    • 2
  1. 1.Department of MathematicsOpen University of IsraelTel-AvivIsrael
  2. 2.MathematicsGeorgia Inst of TechnologyAtlantaUSA

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