The zeros of Faber polynomials generated by an m-star

نویسنده

  • Arno B. J. Kuijlaars
چکیده

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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عنوان ژورنال:
  • Math. Comput.

دوره 65  شماره 

صفحات  -

تاریخ انتشار 1996