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Une relation entre les series de Jacobi et l'approximation de Pade. On the divergence of certain Pade approximant and the behaviour of the associated orthogonal polynomials. Lagrangian differentiation, Gauss-Jacobi integration, and Sturm-Liouville eigenvalue problems. Construction and properties of two sequences of orthogonal polynomials and the infinitely many, recursively generated sequences of associated orthogonal polynomials, directly related to Mathieu's differential equation and functions - Part I -.
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Asymptotic expansion of Jacobi polynomials. Representation theorems for solutions of the heat equation and a new method for obtaining expansions in Laguerre and hermite polynomials. Two points Pade type approximants for Stieltjes functions. Near-minimax approximation and telescoping procedures based on Laguerre and Hermite polynomials. Application des polynomes orthogonaux de Laguerre a l'identification des systemes non-lineaires.
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