The location of the zeros of the derivatives of Faber polynomials

Ullman, J. L.

doi:10.1090/S0002-9939-1972-0299761-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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The location of the zeros of the derivatives of Faber polynomials
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by J. L. Ullman

Proc. Amer. Math. Soc. 34 (1972), 422-424

DOI: https://doi.org/10.1090/S0002-9939-1972-0299761-7

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Abstract:

We prove a property of Faber polynomials which supports a conjecture concerning the zeros of Faber polynomials.

References

Georg Faber, Über polynomische Entwickelungen, Math. Ann. 57 (1903), no. 3, 389–408 (German). MR 1511216, DOI 10.1007/BF01444293
J. L. Ullman, Toeplitz matrices associated with a semi-infinite Laurent series, Proc. London Math. Soc. (3) 22 (1971), 164–192. MR 284757, DOI 10.1112/plms/s3-22.1.164