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
- Proc. Amer. Math. Soc. 114 (1992), 185-190
- DOI: https://doi.org/10.1090/S0002-9939-1992-1077789-X
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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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Bibliographic 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