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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Bibliographic Information
Padé approximation and its applications, Bad Honnef 1983 : proceedings of a conference held at Bad Honnef, Germany, March 7-10, 1983
(Lecture notes in mathematics, 1071)
Springer-Verlag, 1984
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Description and Table of Contents
Table of Contents
- 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 Pade 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 Pade 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.- Pade-type approximants for multivariate series of functions.- Pade approximations in the numerical solution of hyperbolic differential equations.
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