Faber polynomials

In mathematics, the Faber polynomials P_m of a Laurent series

\displaystyle f(z)=z^{-1}+a_0+a_1z+\cdots

are the polynomials such that

\displaystyle P_m(f)-z^{-m}

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

单词	Faber polynomials
释义	Faber polynomials 英语百科 Faber polynomials In mathematics, the Faber polynomials P_m of a Laurent series $\displaystyle f(z)=z^{-1}+a_0+a_1z+\cdots$ are the polynomials such that $\displaystyle P_m(f)-z^{-m}$ vanishes at z=0. They were introduced by Faber (1903, 1919) and studied by Grunsky (1939) and Schur (1945).
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