A note on the summation of power series

DOI10.1016/0168-9274(88)90019-0zbMath0643.65003OpenAlexW1971866813MaRDI QIDQ1102066

I. M. Longman

Publication date: 1988

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(88)90019-0

zbMATH Keywords

convergence accelerationpower seriesEuler methodanalytic continuation

Mathematics Subject Classification ID

Numerical summation of series (65B10)

Related Items

Acceleration of some logarithmic sequences ⋮ The summation of alternating and monotonic series ⋮ Padé-type approximants for generalized Euler transforms ⋮ A short note on the generalized Euler transform for summation of power series

Uses Software

• Algorithm 38

Cites Work

• Unnamed Item
• On the stability of a class of convergence acceleration methods for power series
• The summation of power series and Fourier series
• The summation of series
• Complementary moments and the summation of series
• An algorithm for the summation of series
• Algorithm 38. Two computer codes for convergence acceleration
• Convergence acceleration on a general class of power series
• A note on the generalised Euler transformation
• On a Device for Computing the e m (S n ) Transformation