Let f(z) | = | z + a_1 + a_2 z^(-1) + a_3 z^(-2) + ... | = | z sum_(n = 0)^∞ a_n z^(-n) | congruent | z g(1/z) be a Laurent polynomial with a_0 = 1. Then the Faber polynomial P_m(f) in f(z) of degree m is defined such that P_m(f) = z^m + c_(m1) z^(-1) + c_(m2) z^(-2) + ... = z^m + G_m(1/z), where G_m(x) = sum_(n = 1)^∞ c_(m n) x^n (Schur 1945).