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ABSTRACr. In this note, we obtain three natural explicit formulas for the coefficients of the Faber polynomials with respect to the univalent functions of the class :. As an application, we obtain two new explicit formulas for the Grunsky coefficients of functions in l; these formulas are simpler than those due to Schur (2] and Hummel (4]. The method used in this paper is different from the one that we used to obtain explicit expressions for the Grunsky coefficients for functions of the class S (6].

Explicit formulas for the coefficients of Faber polynomials with respect to univalent functions of the class Σ