37 citations · 124 across the 21 of their papers we have counts for
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A logarithmic characterization of Arakelian sets
Grigorios Fournodavlos, Vassili Nestoridis, Spyros Pasias
Arakelian's classical approximation theorem \cite{Ar} gives necessary and sufficient conditions such that functions can be uniformly approximated in (unbounded) closed sets $F\subs…
Universal Padé approximants on simply connected domains
N. Daras, G. Fournodavlos, V. Nestoridis
The theory of universal Taylor series can be extended to the case of Padé approximants where the universal approximation is not realized by polynomials any more, but by rational fu…
On a characterization of Arakelian sets
G. Fournodavlos
Let be a compact set in the complex plane $\C$, such that its complement in the Riemann sphere, $(\C\cup\{\infty\})\sm K$, is connected. Also, let $U\subseteq\C$ be an open set…
Generic approximation of functions by their Padé approximants
G. Fournodavlos, V. Nestoridis
Generic approximation of entire functions by their Padé approximants has been achieved in the past (\cite{3}). In the present article we obtain generic approximation of holomorphic…
Generic Approximation of functions by their padé approximants, II
G. Fournodavlos
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 compac…
Generic Approximation of functions by their padé approximants, I
G. Fournodavlos
Approximation of entire functions by their padé approximants has been examined in the past. It is true that generically such an approximation holds. However, examining this problem…