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Derivation of Bell Polynomials of the Second Kind

Published 27 Apr 2011 in math.CO and math.FA | (1104.5065v1)

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.

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