Complete Bell polynomials and new generalized identities for polynomials of higher order

Mathematics – Number Theory

Scientific paper

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9 pages

Scientific paper

The relations between the Bernoulli and Eulerian polynomials of higher order
and the complete Bell polynomials are found that lead to new identities for the
Bernoulli and Eulerian polynomials and numbers of higher order. General form of
these identities is considered and generating function for polynomials
satisfying this general identity is found.

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