F. T. Howard

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We define the potential polynomial Fjjz’ and the exponential Bell polynomial B,, (0, . . . , 0, fP fr+,* * . . ) and we prove a theorem relating the two. Though not well-known, the theorem has many applications, some of which we discuss in this paper. fn particular, the theorem provides a systematic approach to a number of formulas and identities involving(More)
and we prove similar equations involving the Bernoulli numbers, the van der Pol numbers, and the numbers generated by the reciprocal of ex x 1. (All of these special numbers are defined in Section 2.) Thus, the V(n, k) provide a link between these special numbers which is not obvious. In Section 5 we look, more generally, at the Bell polynomials 'n,fc(ai>(More)
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