English

On multipoint Pad\'e approximants whose poles accumulate on contours that separate the plane

Classical Analysis and ODEs 2022-02-01 v1

Abstract

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 -1 and 1 1 . We allow for the situation where the (symmetric) contour attracting the poles of the approximants does separate the plane.

Cite

@article{arxiv.2107.04758,
  title  = {On multipoint Pad\'e approximants whose poles accumulate on contours that separate the plane},
  author = {M. L. Yattselev},
  journal= {arXiv preprint arXiv:2107.04758},
  year   = {2022}
}
R2 v1 2026-06-24T04:03:47.110Z