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Russian Mathematical Surveys, 2011, Volume 66, Issue 6, Pages 1049–1131
DOI: https://doi.org/10.1070/RM2011v066n06ABEH004770 (Mi rm9448) 		 
This article is cited in 62 scientific papers (total in 62 papers)

Padé approximants, continued fractions, and orthogonal polynomials

A. I. Aptekareva, V. I. Buslaevb, A. Martínez-Finkelshteinc, S. P. Suetinb

a M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow
b Steklov Mathematical Institute, Russian Academy of Sciences
c University of Almeria, Spain
English version PDF (1295 kB) Citations (62) Russian version article
References:
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DOI: https://doi.org/10.1070/RM2011v066n06ABEH004770
Abstract: This is a survey of results constituting the foundations of the modern convergence theory of Padé approximants.
Bibliography: 204 titles.
Keywords: rational approximation, orthogonal polynomials, Padé approximants, equilibrium distributions, stationary compact sets, $S$-property.
Received: 03.10.2011
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: Primary 41A21; Secondary 30B70, 42C05
Language: English
Original paper language: Russian
Citation: 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
Citation in format AMSBIB
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\by A.~I.~Aptekarev, V.~I.~Buslaev, A.~Mart{\'\i}nez-Finkelshtein, S.~P.~Suetin
\paper Pad\'e approximants, continued~fractions, and orthogonal polynomials
\jour Russian Math. Surveys
\yr 2011
\vol 66
\issue 6
\pages 1049--1131
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    • This publication is cited in the following 62 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    References:128
    First page:73
     
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