ON THE LOCATION OF THE ZEROS OF FABER POLYNOMIALS
1. Introduct ion Suppose that Ω C C is a compact set containing more than one point. Further suppose that its complement Q c := C \ Ω is simply connected in the extended plane C := CU {oo}. Let Ε := {ζ : \z\ < 1} denote the closed unit disk with boundary <9E. Then there exists a unique conformal map Φ : E c —> Ω σ , which satisfies Ψ(οο) = oo and Ψ'(οο) = : ί > 0. Φ and its inverse can be expanded as