Asymptotics for orthogonal polynomials and separation of their zeros

Eli Levin, D. S. Lubinsky

Research output: Contribution to journalArticlepeer-review


Let pn denote the orthonormal polynomials associated with a measure μ with compact support on the real line. In a recent paper, we showed there is a close relationship between the spacing of zeros of successive orthogonal polynomials pn,pn−1, and uniform bounds on the orthogonal polynomials in subintervals of the support. In this paper, we show there is also a relationship between asymptotics for the spacing of zeros of pn−1,pn, and pointwise asymptotics for the orthogonal polynomials.

Original languageEnglish
Article number105804
Pages (from-to)105804
Number of pages1
JournalJournal of Approximation Theory
StatePublished - 1 Sep 2022

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  • Orthogonal polynomials
  • Pointwise asymptotics


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