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Minimal polynomials for compact sets of the complex plane |
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| Authors: | F Peherstorfer |
| Institution: | 1. Institut für Mathematik, J. Kepler Universit?t Linz, A-4040, Linz, Austria |
| Abstract: | LetW N(z)=aNzN+... be a complex polynomial and letT n be the classical Chebyshev polynomial. In this article it is shown that the polynomials (2aN)?n+1Tn(WN), n ∈N, are minimal polynomials on all equipotential lines for {z∈C:|W N(z)|≤1 Λ ImW N(z)=0} |
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