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math.FA2014
Generic properties of Padé approximants and Padé universal series
Stéphane Charpentier, Vassili Nestoridis, Franck Wielonsky
We establish properties concerning the distribution of poles of Pad e approximants, which are generic in Baire category sense. We also investigate Pad e universal series, an analog…
math.FA2014
Generalized universal series
Stéphane Charpentier, Augustin Mouze, Vincent Munnier
We unify the recently developed abstract theories of universal series and extended universal series to include sums of the form for given sequences of ve…