The zeros of Faber polynomials generated by an 𝑚-star

Kuijlaars, Arno

doi:10.1090/S0025-5718-96-00684-9

The zeros of Faber polynomials generated by an $m$-star
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by Arno B. J. Kuijlaars PDF

Math. Comp. 65 (1996), 151-156 Request permission

Abstract:

It is shown that the zeros of the Faber polynomials generated by a regular $m$-star are located on the $m$-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.

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