De Moivre and Bell polynomials
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- 10.48550/arXiv.2203.02868
- arXiv:
- arXiv:2203.02868
- Bibcode:
- 2022arXiv220302868O
- Keywords:
-
- Mathematics - Combinatorics;
- Mathematics - Number Theory;
- 05A15;
- 05A16;
- 13F25
- E-Print:
- 20 pages, comments are welcome