Generic Approximation of functions by their padé approximants, II

Abstract

In \cite{5} we proved that generically functions defined in any open set can be approximated by a sequense of their padé approximants, in the sense of uniform convergence on compacta. In this paper we examine a more particular space, $A^{\infty }(\Omega )$, and prove that we can obtain similar approximation results with functions smooth on the boundary.