Universal Padé approximants of Seleznev type

2013 
We use the chordal metric in order to approximate all meromorphic functions on \({\mathbb{C} \backslash \{0\}}\) by Pade approximants of formal power series. This is a generic universality of Seleznev type which implies Menchov type almost everywhere approximation with respect to any σ-finite Borel measure on \({\mathbb{C} \backslash \{0\}}\).
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