Two different Generating Functions for the Bell polynomials for are given by

or

where is a Binomial Coefficient.

The Bell polynomials are defined such that , where is a Bell Number. The first few Bell
polynomials are

**References**

Bell, E. T. ``Exponential Polynomials.'' *Ann. Math.* **35**, 258-277, 1934.

© 1996-9

1999-05-26