A short note on the generalized Euler transform for summation of power series

DOI10.1007/BF02139466zbMath0755.65005OpenAlexW2060981755MaRDI QIDQ1200533

Paul Sablonniere

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf02139466

zbMATH Keywords

comparison of methodsnumerical examplespower seriessummationWynn's epsilon algorithmtheta algorithmAitken's delta square algorithmgeneralized Euler transform

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Power series (including lacunary series) in one complex variable (30B10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Euler-Maclaurin formula in numerical analysis (65B15) Numerical summation of series (65B10)

Related Items (1)

Padé-type approximants for generalized Euler transforms

Cites Work

• A note on the summation of power series
• Convergence acceleration on a general class of power series
• A note on the generalised Euler transformation

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