“…The results of this paper remain valid when E is a compact set whose complement is connected, provided that the sequence of orthonormal polynomials (p n ), n ≥ 0, and second type functions (s n ), n ≥ 0, relative to the measure µ, supp(µ) ⊂ E, satisfy (9) and (10), respectively, inside C \ E, and the sequence of leading coefficients (κ n ), n ≥ 0, fulfill (11). On the right hand side of (9) and (10) one should place e g(z,∞) , where g(z, ∞) denotes Green's function relative to the region C \ E. The problem with stating the results with this degree of generality is related with the zeros that the second type functions s n may have in Co(E) \ E. For example, if E is made up of two intervals symmetric with respect to the origin and µ is any measure supported on E symmetric with respect to the origin then s n has a zeros at z = 0 for all even n. In this case, no matter how good the measure is, there are problems in proving (18) at ξ = 0 if this point happens to be a system pole. In this example, this can be avoided requiring that 0 is not a system pole of F. But, in a more general configuration, this is hard to guarantee in terms of the data since the zeros of s n in Co(E) \ E may have a quite exotic behavior.…”