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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
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.
UDC:
517.53
MSC: Primary
41A21; Secondary
30B70,
42C05 Received: 03.10.2011
DOI:
10.4213/rm9448
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