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The location of the zeros of the derivatives of Faber polynomials. (English) Zbl 0259.30005


MSC:

30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
30C55 General theory of univalent and multivalent functions of one complex variable
30C10 Polynomials and rational functions of one complex variable
Full Text: DOI

References:

[1] Georg Faber, Über polynomische Entwickelungen, Math. Ann. 57 (1903), no. 3, 389 – 408 (German). · JFM 34.0430.01 · doi:10.1007/BF01444293
[2] J. L. Ullman, Toeplitz matrices associated with a semi-infinite Laurent series, Proc. London Math. Soc. (3) 22 (1971), 164 – 192. · Zbl 0208.16602 · doi:10.1112/plms/s3-22.1.164
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