Zeros of polynomials orthogonal over regular \(N\)-gons.

DOI10.1016/S0021-9045(03)00039-XzbMath1036.30026MaRDI QIDQ1810600

Edward B. Saff, V. V. Maymeskul

Publication date: 9 June 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

Bergman kernelSchwarz reflection principleMarkov systeminterlacing property of zerosasymptotic behavior of Bergman polynomialsexterior Riemann mapping functionlocation of zeros of Bergman polynomials

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (8)

Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation ⋮ Asymptotic behavior and zero distribution of Carleman orthogonal polynomials ⋮ On the zeros of \(d\)-symmetric \(d\)-orthogonal polynomials ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction ⋮ Asymptotics of polynomials orthogonal over circular multiply connected domains ⋮ Semi-convergence analysis of the GPIU method for singular nonsymmetric saddle-point problems ⋮ Zero distributions for polynomials orthogonal with weights over certain planar regions

Cites Work

• Asymptotic behaviour of zeros of Bieberbach polynomials
• Erdős-Turán type theorems on quasiconformal curves and arcs
• Zero distribution of Bergman orthogonal polynomials for certain planar domains
• On zeros of polynomials orthogonal over a convex domain
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