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Mat. Sb. (N.S.), 1983, Volume 120(162), Number 4, Pages 500–504 (Mi msb2143)  

This article is cited in 14 scientific papers (total in 14 papers)

On poles of the $m$th row of a Padé table

S. P. Suetin


Abstract: The connection is considered between the asymptotic behavior of the poles of the $m$th row in the Padé table of a function $f$ and an $m$-meromorphic continuation of it.
Bibliography: 3 titles.

Full text: PDF file (249 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Sbornik, 1984, 48:2, 493–497

Bibliographic databases:

Document Type: Article
UDC: 517.53
MSC: Primary 30D30, 41A21; Secondary 30B40
Received: 13.12.1982

Citation: S. P. Suetin, “On poles of the $m$th row of a Padé table”, Mat. Sb. (N.S.), 120(162):4 (1983), 500–504; Math. USSR-Sb., 48:2 (1984), 493–497

Citation in format AMSBIB
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\by S.~P.~Suetin
\paper On poles of the $m$th row of a~Pad\'e table
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 120(162)
\issue 4
\pages 500--504
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=695956}
\zmath{https://zbmath.org/?q=an:0539.41018|0531.41016}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 48
\issue 2
\pages 493--497
\crossref{https://doi.org/10.1070/SM1984v048n02ABEH002687}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1983TB64100013}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Vavilov, V. A. Prokhorov, S. P. Suetin, “The poles of the $m$th row of the Padé table and the singular points of a function”, Math. USSR-Sb., 50:2 (1985), 457–463  mathnet  crossref  mathscinet  zmath  isi
    2. S. P. Suetin, “On an inverse problem for the $m$th row of a Padé table”, Math. USSR-Sb., 52:1 (1985), 231–244  mathnet  crossref  mathscinet  zmath  isi
    3. Lagomasino G. Vavilov V., “Survey on Recent Advances in Inverse Problems of Pade-Approximation Theory”, 1105, 1984, 11–26  mathscinet  zmath  isi
    4. V. I. Buslaev, “Relations for the coefficients, and singular points of a function”, Math. USSR-Sb., 59:2 (1988), 349–377  mathnet  crossref  mathscinet  zmath  isi
    5. Chin L., “On the M-Th Row of the Table of Multipoint Pade Approximations”, Vestn. Mosk. Univ. Seriya 1 Mat. Mekhanika, 1987, no. 3, 50–53  zmath  isi
    6. V. A. Prokhorov, “The poles of Tchebycheff rational approximations and meromorphic extension of functions”, Math. USSR-Sb., 69:2 (1991), 379–391  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. Le ba Kkhan' Chin', “Inverse theorems for multipoint Padé approximants”, Math. USSR-Sb., 71:1 (1992), 149–161  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    8. S. P. Suetin, “Padé approximants and efficient analytic continuation of a power series”, Russian Math. Surveys, 57:1 (2002), 43–141  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. Adukov V., “The Uniform Convergence of Subsequences of the Last Intermediate Row of the Pade Table”, J. Approx. Theory, 122:2 (2003), 160–207  crossref  mathscinet  zmath  isi
    10. D. V. Khristoforov, “On Asymptotic Properties of Interpolation Polynomials”, Math. Notes, 83:1 (2008), 116–124  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    11. S. P. Suetin, “Numerical Analysis of Some Characteristics of the Limit Cycle of the Free van der Pol Equation”, Proc. Steklov Inst. Math., 278, suppl. 1 (2012), S1–S54  mathnet  crossref  crossref  isi  elib
    12. A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximants, continued fractions, and orthogonal polynomials”, Russian Math. Surveys, 66:6 (2011), 1049–1131  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    13. J. Cacoq, B. Calle Ysern, G. López Lagomasino, “Direct and Inverse Results on Row Sequences of Hermite–Padé Approximants”, Constr Approx, 2013  crossref
    14. G. López Lagomasino, Y. Zaldivar Gerpe, “Inverse Results on Row Sequences of Hermite–Padé Approximation”, Proc. Steklov Inst. Math., 298 (2017), 152–169  mathnet  crossref  crossref  isi  elib
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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