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.
               
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