Abstract
In the paper, the authors establish explicit formulas for asymptotic and power series expansions of the exponential and the logarithm of asymptotic and power series expansions. The explicit formulas for the power series expansions of the exponential and the logarithm of a power series expansion are applied to find explicit formulas for the Bell numbers and logarithmic polynomials in combinatorics and number theory.
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Qi, F., Shi, XT. & Liu, FF. Expansions of the exponential and the logarithm of power series and applications. Arab. J. Math. 6, 95–108 (2017). https://doi.org/10.1007/s40065-017-0166-4
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DOI: https://doi.org/10.1007/s40065-017-0166-4