Padé Approximation and its Applications Bad Honnef 1983 [electronic resource] : Proceedings of a Conference held at Bad Honnef, Germany March 7–10, 1983 / edited by Helmut Werner, Hans Josef Bünger.

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.