Various applications of the (exponential) complete Bell polynomials

Details Various applications of the (exponential) complete Bell polynomials Various applications of the (exponential) complete Bell polynomials

2010-01-16

arxiv.org/abs/1001.2835v2

Mathematics

Classical Analysis and ODEs

Contains a correction to section 6

Scientific paper

In a rather straightforward manner, we develop the well-known formula for the
Stirling numbers of the first kind in terms of the (exponential) complete Bell
polynomials where the arguments include the generalised harmonic numbers.
We also show how the (exponential) complete Bell polynomials feature in a
number of other areas of mathematical interest.

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