Numerical application of Euler's series transformation and its generalizations

DOI10.1007/BF01396703zbMath0422.65002MaRDI QIDQ1133876

Wilhelm Niethammer

Publication date: 1980

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132673

Mathematics Subject Classification ID

Numerical summation of series (65B10)

Related Items

The numerical performance of Tricomi's formula for inverting the Laplace transform ⋮ Analytic continuation of some special functions by variable transformation ⋮ Integral equation methods from grating theory to photonics: an overview and new approaches for conical diffraction ⋮ Accelerating the convergence of power series of certain entire functions ⋮ An algorithm for computing generalized Euler's transformations of series ⋮ On analytic continuation of a hypergeometric series using the Euler-Knopp transformation ⋮ Padé-type approximants with orthogonal generating polynomials ⋮ On two methods for accelerating convergence of series ⋮ On the convergence of Padé-type approximants to analytic functions ⋮ On the acceleration of limit periodic continued fractions ⋮ Some generalizations of the Euler-Knopp transformation

Uses Software

• Algorithm 38

Cites Work

• Algorithm 38. Two computer codes for convergence acceleration
• Convergence acceleration on a general class of power series
• Convergence acceleration from the point of view of linear programming
• A note on the generalised Euler transformation
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