Bell Polynomials

In combinatorial mathematics, the Bell polynomials, named in honor of Eric Temple Bell, are a triangular array of polynomials given by

=\sum{n! \over j_1!j_2!\cdots j_{n-k+1}!} \left({x_1\over 1!}\right)^{j_1}\left({x_2\over 2!}\right)^{j_2}\cdots\left({x_{n-k+1} \over (n-k+1)!}\right)^{j_{n-k+1}},

where the sum is taken over all sequences j1, j2, j3, ..., jn−k+1 of non-negative integers such that

Read more about Bell Polynomials:  Complete Bell Polynomials, Combinatorial Meaning, Software

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