Browsing by Subject "multipoint Padé approximants"
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Item On Multipoint Padé Approximants whose Poles Accumulate on Contours that Separate the Plane(Springer, 2021-11) Yattselev, M. L.; Mathematical Sciences, School of ScienceIn 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.