Pade Approximations and its Applications

Proceedings of a Conference held at Bad Honnef, Germany, March 7-10, 1983
1984
ISBN: 978-3-540-13364-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1071, 268 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 423 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Bünger, H. J.

Werner, H.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik

Inhaltsverzeichnis

Some determinantal identities in a vector space, with applications.- Some convergence results in simultaneous rational approximation to the set of hypergeometric functions {1F1(1;ci;z)} i=1 n .- Zeros of a rational function defined by its Laurent expansion.- Formule d’Erreur dans l’Interpolation Rationnelle Multipoints d’une Fonction de la Variable Complexe.- Utilisation de l’invariance Homographique dans les Algorithmes de Losange.- The mechanism of the multivariate Pade process.- Operations sur des Familles de Suites et Accelerabilite.- The Padé Approximants in a Non-Commutative Algebra and their Applications.- Conditions Suffisantes d’Acceleration de la Convergence.- Generalised inverse vector valued rational interpolation.- Multipoints rational approximants.- Order stars and the structure of Padé tableaux.- Modification of continued fractions.- Solitary waves, padeons and solitons.- Riccati acceleration of Jacobi continued fractions and Laguerre-Hahn orthogonal polynomials.- ? fractions and the strong hamburger moment problem.- Padé-type approximants for multivariate series of functions.- Pade approximations in the numerical solution of hyperbolic differential equations.

Some determinantal identities in a vector space, with applications.- Some convergence results in simultaneous rational approximation to the set of hypergeometric functions {1F1(1;ci;z)} i=1 n.- Zeros of a rational function defined by its Laurent expansion.- Formule d’Erreur dans l’Interpolation Rationnelle Multipoints d’une Fonction de la Variable Complexe.- Utilisation de l’invariance Homographique dans les Algorithmes de Losange.- The mechanism of the multivariate Pade process.- Operations sur des Familles de Suites et Accelerabilite.- The Padé Approximants in a Non-Commutative Algebra and their Applications.- Conditions Suffisantes d’Acceleration de la Convergence.- Generalised inverse vector valued rational interpolation.- Multipoints rational approximants.- Order stars and the structure of Padé tableaux.- Modification of continued fractions.- Solitary waves, padeons and solitons.- Riccati acceleration of Jacobi continued fractions and Laguerre-Hahn orthogonal polynomials.- ? fractions and the strong hamburger moment problem.- Padé-type approximants for multivariate series of functions.- Pade approximations in the numerical solution of hyperbolic differential equations.