Abstract
For a wide class of functions having a representation as Laplace integrals, we obtain expansions in terms of certain higher transcendental functions. Compared with the classical method of expansions as factorial series, these series converge considerably faster and, at the same time, in larger regions.
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Balser, W., Lutz, D. & Schäfke, R. On the Convergence of Borel Approximants. Journal of Dynamical and Control Systems 8, 65–92 (2002). https://doi.org/10.1023/A:1013952717344
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DOI: https://doi.org/10.1023/A:1013952717344