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Mathematics of the USSR-Sbornik, 1981, Volume 39, Issue 2, Pages 255–266
DOI: https://doi.org/10.1070/SM1981v039n02ABEH001513 (Mi sm2592) 		 
This article is cited in 11 scientific papers (total in 12 papers)

Poles of diagonal Padé approximants and the analytic continuation of functions

A. A. Gonchar, K. N. Lungu
English version PDF (740 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/SM1981v039n02ABEH001513
Abstract: In this paper the authors study the connection between the asymptotic behavior of the poles of the diagonal Padé approximants of a function $f$ (given by its power series expansion) and the possibility of analytic continuation of $f$ into a corresponding domain.
Bibliography: 8 titles.
Received: 03.09.1979
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: Primary 30E10, 41A21; Secondary 30B40
Language: English
Original paper language: Russian
Citation: A. A. Gonchar, K. N. Lungu, “Poles of diagonal Padé approximants and the analytic continuation of functions”, Math. USSR-Sb., 39:2 (1981), 255–266
Citation in format AMSBIB
\Bibitem{GonLun80}
\by A.~A.~Gonchar, K.~N.~Lungu
\paper Poles of diagonal Pad\'e approximants and the analytic continuation of functions
\jour Math. USSR-Sb.
\yr 1981
\vol 39
\issue 2
\pages 255--266
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\crossref{https://doi.org/10.1070/SM1981v039n02ABEH001513}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=564353}
\zmath{https://zbmath.org/?q=an:0463.30002|0458.30003}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MK40500007}
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  • https://www.mathnet.ru/eng/sm/v153/i2/p279
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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