Singular points of analytic functions expanded in series of faber polynomials

Let a(n) greater than or equal to 0, n = 0,1,..., be such that lim sup(n-->infinity)(a(n))(1/n) = 1. Then a theorem of Pringsheim states that the point z = 1 is a singular point for f(z) = Sigma(n=0)(infinity) a(n)z(n). It is the purpose of this note to extend Pringsheim's theorem by replacing the unit disk \z\ less than or equal to 1 by a compact simply connected set E (containing more than one point) and whose boundary Br(E) is an analytic Jordan curve, and by replacing the monomials z(n) by the Faber polynomials for E.