De Moivre and Bell polynomials

Authors: Cormac O'Sullivan

20 pages, comments are welcome

Abstract: We survey a family of polynomials that are very useful in all kinds of power series manipulations, and appearing more frequently in the literature. Applications to formal power series, generating functions and asymptotic expansions are described, and we discuss the related work of De Moivre, Arbogast and Bell.

Submitted to arXiv on 06 Mar. 2022

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