Formal orthogonal polynomials and Pade approximants in a non-commutative algebra

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

10.1007/bfb0031058 ◽

2005 ◽

pp. 278-292 ◽

Author(s):

André Draux

Keyword(s):

Orthogonal Polynomials ◽

Commutative Algebra ◽

Padé Approximants ◽

Pade Approximants ◽

Formal Orthogonal Polynomials

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The Padé Approximants in a Non-Commutative Algebra and their Applications

Lecture Notes in Mathematics - Padé Approximation and its Applications Bad Honnef 1983 ◽

10.1007/bfb0099613 ◽

1984 ◽

pp. 117-131 ◽

Author(s):

André Draux

Keyword(s):

Commutative Algebra ◽

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 ◽

Author(s):

A.I Aptekarev ◽

W Van Assche

Keyword(s):

Orthogonal Polynomials ◽

Padé Approximants ◽

Strong Asymptotics ◽

Pade Approximants

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Padé approximants, continued fractions, and orthogonal polynomials

Russian Mathematical Surveys ◽

10.1070/rm2011v066n06abeh004770 ◽

2011 ◽

Vol 66 (6) ◽

pp. 1049-1131 ◽

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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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 ◽

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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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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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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Orthogonal polynomials and Padé approximants associated with a system of arcs

Journal of Approximation Theory ◽

10.1016/0021-9045(77)90117-4 ◽

1977 ◽

Vol 21 (1) ◽

pp. 1-42 ◽

Author(s):

J Nuttall ◽

S.R Singh

Keyword(s):

Orthogonal Polynomials ◽

Padé Approximants ◽

Pade Approximants

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Divergence of diagonal Padé approximants and the asymptotic behavior of orthogonal polynomials associated with nonpositive measures

Constructive Approximation ◽

10.1007/bf01890034 ◽

1985 ◽

Vol 1 (1) ◽

pp. 249-270 ◽

Author(s):

Herbert Stahl

Keyword(s):

Asymptotic Behavior ◽

Orthogonal Polynomials ◽

Padé Approximants ◽

Pade Approximants

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Convergence of Linear and Nonlinear Pade Approximants from Series of Orthogonal Polynomials

Transactions of the American Mathematical Society ◽

10.2307/1999319 ◽

1983 ◽

Vol 278 (1) ◽

pp. 333 ◽

Author(s):

D. S. Lubinsky ◽

A. Sidi

Keyword(s):

Orthogonal Polynomials ◽

Padé Approximants ◽

Pade Approximants ◽

Linear And Nonlinear

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