Abstract
A parametrized version of the Euler transformation, introduced fairly recently, is employed to study the behaviour of functions, given their formal power-series (alternating) expansions in λ with finite radii of convergence, in the limit λ»∞. The strategy requires only the first few low-order data. Results are tested with quite a few known cases and found remarkably satisfactory. The role of some other methods in this context are briefly discussed.
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Bhattacharyya, K. On the use of generalized Euler transformation in handling divergent series. Proc. Indian Acad. Sci. (Chem. Sci.) 99, 9–20 (1987). https://doi.org/10.1007/BF02935769
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DOI: https://doi.org/10.1007/BF02935769