De Moivre and Bell polynomials
Copyright policy )De Moivre and Bell polynomials
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.
20 pages, comments are welcome
- City University of New York United States
- The Graduate Center, CUNY United States
05A15, 05A16, 13F25, Bell polynomials, Mathematics - Number Theory, De Moivre polynomials, Exact enumeration problems, generating functions, Formal power series rings, Asymptotic enumeration, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), power series
05A15, 05A16, 13F25, Bell polynomials, Mathematics - Number Theory, De Moivre polynomials, Exact enumeration problems, generating functions, Formal power series rings, Asymptotic enumeration, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), power series
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