Asymptotic distribution of the zeros of Faber polynomials

DOI10.1017/S0305004100073771zbMath0848.30004OpenAlexW2103436624MaRDI QIDQ4877626

Edward B. Saff, Arno B. J. Kuijlaars

Publication date: 4 November 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100073771

zbMATH Keywords

Faber polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (10)

Zeros of the derivatives of Faber polynomials associated with a universal covering map ⋮ Chebyshev-type quadrature and zeros of Faber polynomials ⋮ Chebyshev quadrature for measures with a strong singularity ⋮ Asymptotic behavior and zero distribution of Carleman orthogonal polynomials ⋮ On the distribution of zeros of Faber polynomials ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ On the zeros of asymptotically extremal polynomial sequences in the plane ⋮ Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction ⋮ On the asymptotic behavior of Faber polynomials for domains with piecewise analytic boundary ⋮ Zeros of Faber polynomials for Joukowski airfoils

Cites Work

• Unnamed Item
• Unnamed Item
• The zeros of Faber polynomials for an \(m\)-cusped hypocycloid
• Studies in Faber Polynomials. I
• The Toeplitz Matrices of an Arbitrary Laurent Polynomial.
• A problem of Schmidt and Spitzer
• Toeplitz Matrices Associated with a Semi-Infinite Laurent Series

This page was built for publication: Asymptotic distribution of the zeros of Faber polynomials