Generic approximation of functions by their Pad\'{e} approximants
Complex Variables
2011-06-02 v1
Abstract
Generic approximation of entire functions by their Pad\'{e} approximants has been achieved in the past (\cite{3}). In the present article we obtain generic approximation of holomorphic functions on arbitrary open sets by sequences of their Pad\'{e} approximants. Similar results hold with functions smooth on the boundary of their domain of definition. In addition, the approximation is valid simultaneously with respect to all centers of expansion.
Cite
@article{arxiv.1106.0169,
title = {Generic approximation of functions by their Pad\'{e} approximants},
author = {G. Fournodavlos and V. Nestoridis},
journal= {arXiv preprint arXiv:1106.0169},
year = {2011}
}