Faber polynomials

In mathematics, the Faber polynomials P_m of a Laurent series

f (z) = z^{- 1} + a_{0} + a_{1} z + \dots

are the polynomials such that

P_{m} (f) - z^{- m}

vanishes at z=0. They were introduced by Faber (1903, 1919) and studied by Grunsky (1939) and Schur (1945).

References

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