Quasipower and hypergeometric series -- construction and evaluation

DOI10.1007/BF02140774zbMath0838.65008MaRDI QIDQ1904149

Stefan Paszkowski

Publication date: 1 February 1996

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

convergenceconvergence accelerationpower seriesGauss hypergeometric functionsHermite-Padé approximationEuler's dilogarithmquasipower series

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Classical hypergeometric functions, ({}_2F_1) (33C05) Numerical summation of series (65B10)

Cites Work

• Unnamed Item
• Fast convergent quasipower series for some elementary and special functions
• Extrapolation methods theory and practice
• Hermite-Padé approximation (basic notions and theorems)
• An Analytic Method for Convergence Acceleration of Certain Hypergeometric Series

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