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

In this note, we consider asymptotics of the multipoint Padé approximants to Cauchy integrals of analytic nonvanishing 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 separates the plane.