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arxiv: 1801.02650 · v1 · pith:HTNRLSRInew · submitted 2018-01-08 · 🧮 math.CV

Higher order recurrences and row sequences of Hermite-Pad\'e approximation

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keywords approximationhermite-padhigherobtainordersequencestypeapply
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We obtain extensions of the Poincar\'e and Perron theorems for higher order recurrence relations and apply them to obtain an inverse type theorem for row sequences of (type II) Hermite-Pad\'e approximation of a vector of formal power series.

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