Extends Hadamard-Ostrowski overconvergence theorems to subsequences of Padé approximants π_{n,m_n} with m(n) = o(n/log n) or m(n) = O(n).
Ostrowski, ¨Uber eine Eigenschaft gewisser Potenzreihen mit un- endlich vielen verschwindenden Koeffizienten, Berliner Ber ichte 1921, 557 – 565
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On overconvergent subsequencs of closed to rows classical Pade' approximants
Extends Hadamard-Ostrowski overconvergence theorems to subsequences of Padé approximants π_{n,m_n} with m(n) = o(n/log n) or m(n) = O(n).