Padé approximants, continued fractions, and orthogonal polynomials

Alexander I Aptekarev; Viktor I Buslaev; Andrei Martínez-Finkelshtein; Sergey P Suetin

doi:10.1070/RM2011v066n06ABEH004770

Russian Mathematical Surveys

Padé approximants, continued fractions, and orthogonal polynomials

Alexander I Aptekarev¹, Viktor I Buslaev¹, Andrei Martínez-Finkelshtein¹ and Sergey P Suetin¹

© 2011 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
Russian Mathematical Surveys, Volume 66, Number 6 Citation Alexander I Aptekarev et al 2011 Russ. Math. Surv. 66 1049 DOI 10.1070/RM2011v066n06ABEH004770

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¹ M.V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow, Russian Federation

² Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

³ Universidad de Almeria, Almeria, Spain

Dates

Received 3 October 2011

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Abstract

This is a survey of results constituting the foundations of the modern convergence theory of Padé approximants.

Bibliography: 204 titles.

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