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- W2894202553 abstract "Let $K$ be the closure of a bounded region in the complex plane with simply connected complement whose boundary is a piecewise analytic curve with at least one outward cusp. The asymptotics of zeros of Faber polynomials for $K$ are not understood in this general setting. Joukowski airfoils provide a particular class of such sets. We determine the (unique) weak-* limit of the full sequence of normalized counting measures of the Faber polynomials for Joukowski airfoils; it is never equal to the potential-theoretic equilibrium measure of $K$. This implies that many of these airfoils admit an electrostatic skeleton and also explains an interesting class of examples of Ullman related to Chebyshev quadrature." @default.
- W2894202553 created "2018-10-05" @default.
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- W2894202553 date "2018-09-27" @default.
- W2894202553 modified "2023-10-06" @default.
- W2894202553 title "Zeros of Faber polynomials for Joukowski airfoils" @default.
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- W2894202553 doi "https://doi.org/10.48550/arxiv.1809.10439" @default.
- W2894202553 hasPublicationYear "2018" @default.
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