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• W2056835184 endingPage "330" @default.
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• W2056835184 abstract "Abstract Euler transformation for accelerating convergence of a series is considered in the context of handling divergent (asymptotically convergent) perturbation series. A generalized (parametrized) version of this transformation is developed, based on the conjecture of Dalgarno and Stewart, which works better. Viewed from this standpoint, the Padé approximants follow as a special case of the parametrized Euler transformation ( PET ), as is the case with the μ transformation procedure of Feenberg in a perturbative context. The PET is shown to serve as a more general method of handling a divergent series and is able to appreciate the construction and convergence behavior of specific sequences of Padé approximants. The role of parametrization in the context of the Z −1 perturbation theory of atoms is also noted and the workability of the adopted strategy is demonstrated by choosing some specific test cases." @default.
• W2056835184 created "2016-06-24" @default.
• W2056835184 creator A5011499240 @default.
• W2056835184 date "1982-08-01" @default.
• W2056835184 modified "2023-10-02" @default.
• W2056835184 title "Generalized Euler transformation in extracting useful information from divergent (asymptotic) perturbation series and the construction of Padé approximants" @default.
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• W2056835184 doi "https://doi.org/10.1002/qua.560220210" @default.
• W2056835184 hasPublicationYear "1982" @default.
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