On Faber Polynomials Generated by An m-Star

DOI10.2307/2153408zbMath0792.30003OpenAlexW2058965515MaRDI QIDQ4286599

Jerry Bartolomeo, Matthew X. He

Publication date: 27 March 1994

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2153408

zbMATH Keywords

zero distributionFaber polynomial\(m\)-star

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) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (9)

The Faber polynomials for \(m\)-fold symmetric domains ⋮ The Faber polynomials for circular lunes ⋮ The degree of approximation by polynomials on some disjoint intervals in the complex plane ⋮ Spectral properties of the Neumann-Poincaré operator on rotationally symmetric domains ⋮ Approximation in compact sets by \(q\)-Stancu-Faber polynomials ⋮ The zeros of Faber polynomials generated by an 𝑚-star ⋮ Faber polynomials with common zero ⋮ Application of Faber polynomials in proving combinatorial identities ⋮ On the asymptotic behavior of Faber polynomials for domains with piecewise analytic boundary

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