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Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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What parts of a measure’s support attract zeros of the corresponding orthogonal polynomials?
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by E. B. Saff and Vilmos Totik PDF
Proc. Amer. Math. Soc. 114 (1992), 185-190 Request permission

Abstract:

It is proved that each "component" of the polynomial convex hull of the support of the generating measure attracts zeros of the corresponding orthogonal polynomials. On the other hand, an example is given showing e.g. that mass points in the support need not attract zeros.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 185-190
  • MSC: Primary 42C05; Secondary 30C99
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1077789-X
  • MathSciNet review: 1077789