Asymptotics of Orthonormal Polynomials

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


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.




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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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