English

De Moivre and Bell polynomials

Combinatorics 2022-03-08 v1 Number Theory

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.

Keywords

Cite

@article{arxiv.2203.02868,
  title  = {De Moivre and Bell polynomials},
  author = {Cormac O'Sullivan},
  journal= {arXiv preprint arXiv:2203.02868},
  year   = {2022}
}

Comments

20 pages, comments are welcome

R2 v1 2026-06-24T10:03:27.477Z