pith. sign in

arxiv: 1106.0169 · v1 · pith:M6PZ5QZOnew · submitted 2011-06-01 · 🧮 math.CV

Generic approximation of functions by their Pad\'{e} approximants

classification 🧮 math.CV
keywords approximationfunctionsapproximantsgenericachievedadditionarbitraryarticle
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.