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

 

On the zeros of Gonchar polynomials


Author: Martin Lamprecht
Journal: Proc. Amer. Math. Soc. 141 (2013), 2763-2766
MSC (2010): Primary 33B99
Published electronically: April 10, 2013
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Abstract: We verify two conjectures of Brauchart et al. concerning the zeros of the Gonchar polynomials $ G(d;z) := \left [(z-1)^{d}-z-1\right ]z^{d-1} + (z-1)^{d}$, where $ d\in \mathbb{N}$.


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Additional Information

Martin Lamprecht
Affiliation: Institut für Mathematik, Universität Würzburg, Campus Hubland Nord, Emil- Fischer-Strasse 30/40, 97074 Würzburg, Germany
Address at time of publication: Department of Computer Science and Engineering, European University of Cyprus, 6, Diogenous Street, Engomi, P. O. Box 22006, 1516 Nicosia, Cypress
Email: martin.lamprecht@mathematik.uni-wuerzburg.de, m.lamprecht@euc.ac.cy

DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11866-6
PII: S 0002-9939(2013)11866-6
Received by editor(s): October 31, 2011
Published electronically: April 10, 2013
Additional Notes: The author would like to thank Ed Saff for introducing him to the fascinating sequence of Gonchar polynomials.
Communicated by: Walter Van Assche
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.