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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 61 scientific papers (total in 61 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 (61)
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
Russian version:
Uspekhi Matematicheskikh Nauk, 2011, Volume 66, Issue 6(402), Pages 37–122
DOI: https://doi.org/10.4213/rm9448
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”, Uspekhi Mat. Nauk, 66:6(402) (2011), 37–122; Russian Math. Surveys, 66:6 (2011), 1049–1131
Citation in format AMSBIB
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    • This publication is cited in the following 61 articles:
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    References:120
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