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Matematicheskie Zametki, 2021, Volume 110, Issue 5, paper published in the English version journal (Mi mzm12977)  
Papers published in the English version of the journal

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

M. L. Yattselevab

a 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.
Funding agency Grant number
Simons Foundation CGM-706591
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1623
This work was supported in part by a grant from the Simons Foundation, CGM-706591, and by Moscow Center for Fundamental and Applied Mathematics, Agreement with the Ministry of Science and Higher Education of the Russian Federation, No. 075-15-2019-1623.
Received: 17.12.2020
Revised: 11.06.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 5, Pages 784–795
DOI: https://doi.org/10.1134/S0001434621110158
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. L. Yattselev, “On Multipoint Padé Approximants whose Poles Accumulate on Contours that Separate the Plane”, Math. Notes, 110:5 (2021), 784–795
Citation in format AMSBIB
\Bibitem{Yat21}
\by M.~L.~Yattselev
\paper On Multipoint Pad\'e Approximants whose Poles Accumulate
on Contours that Separate the Plane
\jour Math. Notes
\yr 2021
\vol 110
\issue 5
\pages 784--795
\mathnet{http://mi.mathnet.ru/mzm12977}
\crossref{https://doi.org/10.1134/S0001434621110158}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000730355100015}
\elib{https://elibrary.ru/item.asp?id=47546130}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85121346546}
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