Derivation of Bell Polynomials of the Second Kind
Combinatorics
2011-09-09 v1 Functional Analysis
Abstract
New methods for derivation of Bell polynomials of the second kind are presented. The methods are based on an ordinary generating function and its composita. The relation between a composita and a Bell polynomial is demonstrated. Main theorems are written and examples of Bell polynomials for trigonometric functions, polynomials, radicals, and Bernoulli functions are given.
Keywords
Cite
@article{arxiv.1104.5065,
title = {Derivation of Bell Polynomials of the Second Kind},
author = {Vladimir Kruchinin},
journal= {arXiv preprint arXiv:1104.5065},
year = {2011}
}
Comments
15 pages