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The zeros of Faber polynomials generated by an |
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| Authors: | Arno B J Kuijlaars |
| Institution: | Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands |
| Abstract: | It is shown that the zeros of the Faber polynomials generated by a regular  -star are located on the  -star. This proves a recent conjecture of J. Bartolomeo and M. He. The proof uses the connection between zeros of Faber polynomials and Chebyshev quadrature formulas. |
| Keywords: | Faber polynomials zero distribution Chebyshev quadrature |
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