Ebook: Padé Approximation and its Applications Bad Honnef 1983: Proceedings of a Conference held at Bad Honnef, Germany March 7–10, 1983

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Content:
Front Matter....Pages -
Some determinantal identities in a vector space, with applications....Pages 1-11
Some convergence results in simultaneous rational approximation to the set of hypergeometric functions {1F1(1;ci;z)} i=1 n ....Pages 12-33
Zeros of a rational function defined by its Laurent expansion....Pages 34-48
Formule d’Erreur dans l’Interpolation Rationnelle Multipoints d’une Fonction de la Variable Complexe....Pages 49-61
Utilisation de l’invariance Homographique dans les Algorithmes de Losange....Pages 62-94
The mechanism of the multivariate Pade process....Pages 95-103
Operations sur des Familles de Suites et Accelerabilite....Pages 104-116
The Pad? Approximants in a Non-Commutative Algebra and their Applications....Pages 117-131
Conditions Suffisantes d’Acceleration de la Convergence....Pages 132-143
Generalised inverse vector valued rational interpolation....Pages 144-156
Multipoints rational approximants....Pages 157-165
Order stars and the structure of Pad? tableaux....Pages 166-175
Modification of continued fractions....Pages 176-196
Solitary waves, padeons and solitons....Pages 197-212
Riccati acceleration of Jacobi continued fractions and Laguerre-Hahn orthogonal polynomials....Pages 213-230
? fractions and the strong hamburger moment problem....Pages 231-237
Pad?-type approximants for multivariate series of functions....Pages 238-251
Pade approximations in the numerical solution of hyperbolic differential equations....Pages 252-264

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Content:
Front Matter....Pages -
Some determinantal identities in a vector space, with applications....Pages 1-11
Some convergence results in simultaneous rational approximation to the set of hypergeometric functions {1F1(1;ci;z)} i=1 n ....Pages 12-33
Zeros of a rational function defined by its Laurent expansion....Pages 34-48
Formule d’Erreur dans l’Interpolation Rationnelle Multipoints d’une Fonction de la Variable Complexe....Pages 49-61
Utilisation de l’invariance Homographique dans les Algorithmes de Losange....Pages 62-94
The mechanism of the multivariate Pade process....Pages 95-103
Operations sur des Familles de Suites et Accelerabilite....Pages 104-116
The Pad? Approximants in a Non-Commutative Algebra and their Applications....Pages 117-131
Conditions Suffisantes d’Acceleration de la Convergence....Pages 132-143
Generalised inverse vector valued rational interpolation....Pages 144-156
Multipoints rational approximants....Pages 157-165
Order stars and the structure of Pad? tableaux....Pages 166-175
Modification of continued fractions....Pages 176-196
Solitary waves, padeons and solitons....Pages 197-212
Riccati acceleration of Jacobi continued fractions and Laguerre-Hahn orthogonal polynomials....Pages 213-230
? fractions and the strong hamburger moment problem....Pages 231-237
Pad?-type approximants for multivariate series of functions....Pages 238-251
Pade approximations in the numerical solution of hyperbolic differential equations....Pages 252-264
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