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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
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: http://dx.doi.org/10.1090/S0002-9939-1992-1077789-X
PII: S 0002-9939(1992)1077789-X
Article copyright: © Copyright 1992 American Mathematical Society