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

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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… Click to show full 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.

Keywords: multipoint pad; separate plane; pad approximants; approximants whose

Journal Title: Mathematical Notes
Year Published: 2021

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