Inverse polynomial images are always sets of minimal logarithmic capacity

DOI10.1007/s40315-015-0143-xzbMath1367.31004OpenAlexW1786100989MaRDI QIDQ312711

Klaus Schiefermayr

Publication date: 16 September 2016

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-015-0143-x

zbMATH Keywords

symmetry propertyinverse polynomial imageminimal logarithmic capacity

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Polynomials and rational functions of one complex variable (30C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

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• Description of inverse polynomial images which consist of two Jordan arc with the help of Jacobi's elliptic functions
• Orthogonal polynomials and Padé approximants associated with a system of arcs
• Minimal polynomials for compact sets of the complex plane
• The convergence of Padé approximants to functions with branch points
• The Pólya-Chebotarev problem and inverse polynomial images
• Geometric Properties of Inverse Polynomial Images
• Extremal domains associated with an analytic function I
• EQUILIBRIUM DISTRIBUTIONS AND DEGREE OF RATIONAL APPROXIMATION OF ANALYTIC FUNCTIONS
• A density result concerning inverse polynomial images