Papers published in the English version of the journal

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

M. L. Yattselev<sup>ab

a</sup> Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana, 46202 USA
^b Keldysh Institute of Applied Mathematics, Moscow, 125047 Russia

Abstract: 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.

Keywords: multipoint Padé approximants, nonHermitian orthogonality, strong asymptotics.

Received: 17.12.2020
Revised: 11.06.2021

Language: English

 English version: Mathematical Notes, 2021, 110:5, 784–795

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