Explicit Faber Polynomials on Circular Sectors

DOI10.2307/2153031zbMath0751.30003OpenAlexW4242733750MaRDI QIDQ3987932

Gerhard Opfer, Karin Gatermann, Christoph M. Hoffmann

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2153031

zbMATH Keywords

MATHEMATICAREDUCEFaber polynomialsrecursive algorithmouter conformal mapping

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Polynomials and rational functions of one complex variable (30C10) Software, source code, etc. for problems pertaining to functions of a complex variable (30-04) Tables in numerical analysis (65A05)

Related Items (8)

The Faber polynomials for \(m\)-fold symmetric domains ⋮ The Faber polynomials for circular lunes ⋮ A note on the tau-method approximations for the Bessel functions \(Y_ 0(z)\) and \(Y_ 1(z)\) ⋮ Faber polynomials corresponding to rational exterior mapping functions ⋮ The Faber Polynomials for Annular Sectors ⋮ Preface ⋮ Symbolic and numerical computation on Bessel functions of complex argument and large magnitude ⋮ Accelerated polynomial approximation of finite order entire functions by growth reduction

Uses Software

• Mathematica
• REDUCE

Cites Work

• Über ein Extremalproblem der konformen Abbildung
• Über die Faberschen Polynome schlichter Funktionen
• On Faber polynomials and Faber expansions
• Computation of Faber Series With Application to Numerical Polynomial Approximation in the Complex Plane
• The Faber Polynomials for Circular Sectors
• Complex Chebyshev Polynomials on Circular Sectors with Degree Six or Less
• Faber Polynomials and the Faber Series
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