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arXiv · 2107.04758

On multipoint Padé approximants whose poles accumulate on contours that separate the plane

M. L. Yattselev
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Abstract

In this note we consider asymptotics of the multipoint Padé approximants to Cauchy integrals of analytic non-vanishing densities defined on a Jordan arc connecting $ -1 $ and $ 1 $. We allow for the situation where the (symmetric) contour attracting the poles of the approximants does separate the plane.

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M. L. Yattselev. 2021-07-10. On multipoint Padé approximants whose poles accumulate on contours that separate the plane. https://arxiv.org/abs/2107.04758

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