Derivation of Bell Polynomials of the Second Kind

Details Derivation of Bell Polynomials of the Second Kind Derivation of Bell Polynomials of the Second Kind

2011-04-27

arxiv.org/abs/1104.5065v1

Mathematics

Combinatorics

15 pages

Scientific paper

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.

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