Pade Approximations and its Applications

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.