Pade Approximations and its Applications

Proceedings of a Conference held at Bad Honnef, Germany, March 7-10, 1983
Herausgegeben:Werner, H.; Bünger, H. J.

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Produktbeschreibung

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 Pad¿pproximants 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 Pad¿ableaux.- 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.- Pad¿ype approximants for multivariate series of functions.- Pade approximations in the numerical solution of hyperbolic differential equations.

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Produktdetails

• Lecture Notes in Mathematics 1071
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-13364-3
• 1984.
• Seitenzahl: 276
• Erscheinungstermin: 1. Juli 1984
• Englisch
• Abmessung: 235mm x 155mm x 16mm
• Gewicht: 443g
• ISBN-13: 9783540133643
• ISBN-10: 354013364X
• Artikelnr.: 23886949

Inhaltsangabe

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.