Padé approximants, continued fractions, and orthogonal polynomials

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

doi:10.1070/rm2011v066n06abeh004770

Padé approximants, continued fractions, and orthogonal polynomials

Russian Mathematical Surveys ◽

10.1070/rm2011v066n06abeh004770 ◽

2011 ◽

Vol 66 (6) ◽

pp. 1049-1131 ◽

Cited By ~ 27

Author(s):

Alexander I Aptekarev ◽

Viktor I Buslaev ◽

Andrei Martínez-Finkelshtein ◽

Sergey P Suetin

Keyword(s):

Orthogonal Polynomials ◽

Continued Fractions ◽

Padé Approximants ◽

Pade Approximants

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Pade´ approximants and continued fractions

Expansions and Asymptotics for Statistics ◽

10.1201/9781420011029-7 ◽

2010 ◽

pp. 89-112

Keyword(s):

Continued Fractions ◽

Padé Approximants ◽

Pade Approximants

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Applications of Pade approximants and continued fractions in systems theory

Mathematical Theory of Networks and Systems - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0031049 ◽

2005 ◽

pp. 130-148 ◽

Cited By ~ 1

Author(s):

A. Bultheel

Keyword(s):

Systems Theory ◽

Continued Fractions ◽

Padé Approximants ◽

Pade Approximants

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Scalar and matrix Riemann–Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight

Journal of Approximation Theory ◽

10.1016/j.jat.2004.06.001 ◽

2004 ◽

Vol 129 (2) ◽

pp. 129-166 ◽

Cited By ~ 42

Author(s):

A.I Aptekarev ◽

W Van Assche

Keyword(s):

Orthogonal Polynomials ◽

Padé Approximants ◽

Strong Asymptotics ◽

Pade Approximants

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A generalization of classical orthogonal polynomials and the convergence of simultaneous Pade approximants

Journal of Soviet Mathematics ◽

10.1007/bf01097274 ◽

1989 ◽

Vol 45 (6) ◽

pp. 1461-1499 ◽

Cited By ~ 7

Author(s):

V. N. Sorokin

Keyword(s):

Orthogonal Polynomials ◽

Padé Approximants ◽

Classical Orthogonal Polynomials ◽

Pade Approximants

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Padé approximants and orthogonal polynomials

Rational Approximations and Orthogonality - Translations of Mathematical Monographs ◽

10.1090/mmono/092/02 ◽

1991 ◽

pp. 37-94

Keyword(s):

Orthogonal Polynomials ◽

Padé Approximants ◽

Pade Approximants

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History of continued fractions and Padé approximants

Journal of Approximation Theory ◽

10.1016/0021-9045(91)90042-9 ◽

1991 ◽

Vol 66 (3) ◽

pp. 355

Author(s):

Alphonse P Magnus

Keyword(s):

Continued Fractions ◽

Padé Approximants ◽

Pade Approximants ◽

History Of

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Orthogonal polynomials and Padé approximants for reciprocal polynomial weights

Journal of Approximation Theory ◽

10.1016/j.jat.2009.05.006 ◽

2010 ◽

Vol 162 (2) ◽

pp. 298-302

Author(s):

D.S. Lubinsky

Keyword(s):

Orthogonal Polynomials ◽

Padé Approximants ◽

Pade Approximants

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Continued fractions, two-point Padé approximants and errors in the Stieltjes case

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(01)00538-6 ◽

2002 ◽

Vol 145 (1) ◽

pp. 99-112 ◽

Cited By ~ 4

Author(s):

Jacek Gilewicz ◽

Maciej Pindor ◽

Józef J. Telega ◽

Stanisław Tokarzewski

Keyword(s):

Continued Fractions ◽

Padé Approximants ◽

Pade Approximants

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Convergence of linear and nonlinear Padé approximants from series of orthogonal polynomials

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1983-0697078-1 ◽

1983 ◽

Vol 278 (1) ◽

pp. 333-333

Author(s):

D. S. Lubinsky ◽

A. Sidi

Keyword(s):

Orthogonal Polynomials ◽

Padé Approximants ◽

Pade Approximants ◽

Linear And Nonlinear

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History of Continued Fractions and Padé Approximants (Claude Brezinski)

SIAM Review ◽

10.1137/1035030 ◽

1993 ◽

Vol 35 (1) ◽

pp. 159-160

Author(s):

J. H. McCabe

Keyword(s):

Continued Fractions ◽

Padé Approximants ◽

Pade Approximants ◽

History Of

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