Padé approximants, continued fractions, and orthogonal polynomials

A. I. Aptekarev; V. I. Buslaev; A. Martínez-Finkelshtein; S. P. Suetin

doi:10.1070/RM2011v066n06ABEH004770

Padé approximants, continued fractions, and orthogonal polynomials

A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

This is a survey of results constituting the foundations of the modern convergence theory of Padé approximants. Bibliography: 204 titles.

Original language	English
Pages (from-to)	1049-1131
Number of pages	83
Journal	Russian Mathematical Surveys
Volume	66
Issue number	6
DOIs	https://doi.org/10.1070/RM2011v066n06ABEH004770
State	Published - 1 Dec 2011
Externally published	Yes

Keywords

Equilibrium distributions
Orthogonal polynomials
Padé approximants
Rational approximation
S-property
Stationary compact sets

ASJC Scopus subject areas

General Mathematics

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10.1070/RM2011v066n06ABEH004770

Cite this

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title = "Pad{\'e} approximants, continued fractions, and orthogonal polynomials",

abstract = "This is a survey of results constituting the foundations of the modern convergence theory of Pad{\'e} approximants. Bibliography: 204 titles.",

keywords = "Equilibrium distributions, Orthogonal polynomials, Pad{\'e} approximants, Rational approximation, S-property, Stationary compact sets",

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AU - Aptekarev, A. I.

AU - Buslaev, V. I.

AU - Martínez-Finkelshtein, A.

AU - Suetin, S. P.

PY - 2011/12/1

Y1 - 2011/12/1

N2 - This is a survey of results constituting the foundations of the modern convergence theory of Padé approximants. Bibliography: 204 titles.

AB - This is a survey of results constituting the foundations of the modern convergence theory of Padé approximants. Bibliography: 204 titles.

KW - Equilibrium distributions

KW - Orthogonal polynomials

KW - Padé approximants

KW - Rational approximation

KW - S-property

KW - Stationary compact sets

UR - https://www.scopus.com/pages/publications/84859042945

U2 - 10.1070/RM2011v066n06ABEH004770

DO - 10.1070/RM2011v066n06ABEH004770

M3 - Article

AN - SCOPUS:84859042945

SN - 0036-0279

VL - 66

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EP - 1131

JO - Russian Mathematical Surveys

JF - Russian Mathematical Surveys

IS - 6

ER -

Padé approximants, continued fractions, and orthogonal polynomials

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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