The location of the zeros of the derivatives of Faber polynomials
Abstract: We prove a property of Faber polynomials which supports a conjecture concerning the zeros of Faber polynomials.
-  Georg Faber, Über polynomische Entwickelungen, Math. Ann. 57 (1903), no. 3, 389–408 (German). MR 1511216, https://doi.org/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 0284757, https://doi.org/10.1112/plms/s3-22.1.164
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Keywords: Faber polynomials, zeros of Faber polynomials, zeros of the derivatives of Faber polynomials
Article copyright: © Copyright 1972 American Mathematical Society