Suppose that F(x)∈Z[[x]] is a Mahler function and that 1/b is
in the radius of convergence of F(x). In this paper, we consider the
approximation of F(1/b) by algebraic numbers. In particular, we prove that
F(1/b) cannot be a Liouville number. If F(x) is also regular, we show that
F(1/b) is either rational or transcendental, and in the latter case that
F(1/b) is an S-number or a T-number.Comment: 52 page