What parts of a measure's support attract zeros of the corresponding orthogonal polynomials?

Authors:
E. B. Saff and Vilmos Totik

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

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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.

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DOI:
https://doi.org/10.1090/S0002-9939-1992-1077789-X

Article copyright:
© Copyright 1992
American Mathematical Society