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arXiv · 1211.5573

Meromorphic continuation of functions and arbitrary distribution of interpolation points

Manuel Bello Hernández·Bernardo de la Calle Ysern
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Abstract

We characterize the region of meromorphic continuation of an analytic function $f$ in terms of the geometric rate of convergence on a compact set of sequences of multi-point rational interpolants of $f$. The rational approximants have a bounded number of poles and the distribution of interpolation points is arbitrary.

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Manuel Bello Hernández, Bernardo de la Calle Ysern. 2012-11-23. Meromorphic continuation of functions and arbitrary distribution of interpolation points. https://arxiv.org/abs/1211.5573

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