Definition and uniqueness of integral approximants

DOI10.1016/0377-0427(90)90036-YzbMath0729.41019MaRDI QIDQ805955

George A. jun. Baker, Peter R. Graves-Morris

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Latin polynomialsintegral approximantsdifferential approximantHermite-Padé approximant

Mathematics Subject Classification ID

Padé approximation (41A21)

Related Items

Determinants and the structure of the integral approximant table, Existence of certain sequences of Hermite-Padé approximants, Some convergence and divergence theorems for Hermite-Padé approximants, Application of Hermite-Padé approximation for detecting singularities of some boundary value problems, Formulation of the integral form for integral function approximations, Degeneracies of the integral form for integral function approximations, A superfast algorithm for multi-dimensional Padé systems

Cites Work

• Invariance properties in Hermite-Padé approximation theory
• Some numerical results on the convergence of integral approximants
• The asymptotic behavior of Hermite-Padé polynomials
• Asymptotics of diagonal Hermite-Padé polynomials
• Convergence theorems for rows of Hermite-Padé integral approximants
• P-fractions and the Padé table
• Convergence theorems for rows of differential and algebraic Hermite- Padé approximations
• Inhomogeneous differential approximants for power series
• A recurrence technique for confluent singularity analysis of power series
• Asymptotic Form of Hermite-Padé Polynomials
• Vector Orthogonal Polynomials
• Approximation by Sequences of Padé Approximants in Regions of Meromorphy
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