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Asymptotics of Orthonormal Polynomials

  • Eli Levin
  • Doron S. Lubinsky
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

In this chapter, we establish pointwise asymptotics of the orthonormal polynomials p n (W 2, x) for x in the interval of orthogonality, as well as asymptotics for the associated recurrence coefficients. We shall also reformulate some of the results of the previous chapters for this special case.

Keywords

Lipschitz Condition Trigonometric Polynomial Previous Chapter Orthonormal Polynomial Complete Asymptotic Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Eli Levin
    • 1
  • Doron S. Lubinsky
    • 2
  1. 1.Department of MathematicsThe Open University of IsraelTel AvivIsrael
  2. 2.Centre for Applicable Analysis and Number Theory Department of MathematicsWitwatersrand UniversityWitsSouth Africa

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