Padé-type approximants of entire functions and acceleration of convergence: Two examples

DOI10.1016/0377-0427(93)E0245-HzbMath0826.41019MaRDI QIDQ1893580

Hervé Le Ferrand

Publication date: 4 July 1995

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

zbMATH Keywords

Padé-type approximantsentire functionsacceleration of convergencegenerating polynomial

Mathematics Subject Classification ID

Padé approximation (41A21)

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• On the convergence of Padé-type approximants to analytic functions
• Padé-type approximants of \(\exp(-z)\) whose denominators are \((1+z/n)^ n\)
• Uniform convergence of rows of the Padé table for functions with smooth Maclaurin series coefficients
• Padé tables of entire functions of very slow and smooth growth. II
• Geometric convergence to \(e^{-z}\) by rational functions with real poles
• Accelerating the convergence of power series of certain entire functions
• Properties of certain rational approximations toe −z
• Attainable order of rational approximations to the exponential function with only real poles
• Restricted Padé Approximations to the Exponential Function

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