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

 

Continuous independence and the Ilieff-Sendov conjecture


Author: Michael J. Miller
Journal: Proc. Amer. Math. Soc. 115 (1992), 79-83
MSC: Primary 30C15
MathSciNet review: 1113647
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Abstract: A maximal polynomial is a complex polynomial that has all of its roots in the unit disk, one fixed root, and all of its critical points as far as possible from a fixed point. In this paper we determine a lower bound for the number of roots and critical points of a maximal polynomial that must lie on specified circles.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1113647-X
PII: S 0002-9939(1992)1113647-X
Keywords: Ilieff, Sendov, maximal polynomial, continuous independence
Article copyright: © Copyright 1992 American Mathematical Society