On Multipoint Padé Approximants whose Poles Accumulate on Contours that Separate the Plane

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2021-11
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English
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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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Yattselev, M. L. (2021). On Multipoint Padé Approximants whose Poles Accumulate on Contours that Separate the Plane. Mathematical Notes, 110(5), 784–795. https://doi.org/10.1134/S0001434621110158
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