Inverse results on row sequences of Hermite-Padé approximation

G. López Lagomasino; Y. Zaldivar Gerpe

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arXiv · 1701.04797

Inverse results on row sequences of Hermite-Padé approximation

G. López Lagomasino·Y. Zaldivar Gerpe

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Abstract

We consider row sequences of (type II) Hermite-Padé approximations with common denominator associated with a vector ${\bf f}$ of formal power expansions about the origin. In terms of the asymptotic behavior of the sequence of common denominators, we describe some analytic properties of ${\bf f}$ and restate some conjectures corresponding to questions once posed by A. A. Gonchar for row sequences of Padé approximants.

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G. López Lagomasino, Y. Zaldivar Gerpe. 2017-01-17. Inverse results on row sequences of Hermite-Padé approximation. https://arxiv.org/abs/1701.04797

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