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

M. L. Yattselev

Published 2021-07-10Version 1

In this note we consider asymptotics of the multipoint Pad\'e 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.