English

Generic Approximation of functions by their pad\'{e} approximants, II

Complex Variables 2011-05-17 v2

Abstract

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

Keywords

Cite

@article{arxiv.1105.0170,
  title  = {Generic Approximation of functions by their pad\'{e} approximants, II},
  author = {G. Fournodavlos},
  journal= {arXiv preprint arXiv:1105.0170},
  year   = {2011}
}
R2 v1 2026-06-21T18:01:03.002Z