A new algorithm for summing divergent series. I: Basic theory and illustrations

DOI10.1016/0771-050X(76)90001-2zbMath0363.65002OpenAlexW2051383798MaRDI QIDQ1240514

L. R. Shenton, K. O. Bowman

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0771-050x(76)90001-2

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Power series (including lacunary series) in one complex variable (30B10) Continued fractions; complex-analytic aspects (30B70) Approximation to limiting values (summation of series, etc.) (40A25) Numerical summation of series (65B10)

Related Items (3)

A new algorithm for summing divergent series. II: A two-component Borel summability model ⋮ A new algorithm for summing divergent series. III: Applications ⋮ Asymptotic series and Stieltjes continued fractions for a gamma function ratio

Cites Work

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• Converging factors for continued fractions. I, II
• A new look at the Padé table and the different methods for computing its elements
• Sequences of irrational fraction approximants to some hypergeometric functions
• Continued fraction approximation to functions
• ANALYSIS AND IMPROVEMENT OF PERTURBATION SERIES
• The Development of Techniques for the Evaluation of Sampling Moments
• The Mills ratio and the probability integral for a Pearson Type IV distribution
• INEQUALITIES FOR THE NORMAL INTEGRAL INCLUDING A NEW CONTINUED FRACTION

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