A Note on the Zeros of Faber Polynomials

DOI10.2307/2040655zbMath0306.30003OpenAlexW4252153782MaRDI QIDQ4063701

A. W. Goodman

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040655

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Dirichlet series, exponential series and other series in one complex variable (30B50) Polynomials and rational functions of one complex variable (30C10) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (5)

Chebyshev-type quadrature and zeros of Faber polynomials ⋮ On the distribution of zeros of Faber polynomials ⋮ A note on a Remez-type inequality for trigonometric polynomials ⋮ An algebraic structure for Faber polynomials ⋮ Bounding Zolotarev numbers using Faber rational functions

Cites Work

• On Faber polynomials and Faber expansions
• Faber Polynomials and the Faber Series
• The Location of the Zeros of the Derivatives of Faber Polynomials
• The Rotation Theorem for Starlike Univalent Functions

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