Editing Bell polynomials (section)

===Hermite polynomials===
{{main|Hermite polynomials}}

[[Hermite polynomials]] can be expressed in terms of Bell polynomials as

:<math>\operatorname{He}_n(x) = B_n(x,-1,0,\ldots,0),</math>

where ''x''<sub>''i''</sub> = 0 for all ''i'' > 2; thus allowing for a combinatorial interpretation of the coefficients of the Hermite polynomials. This can be seen by comparing the generating function of the Hermite polynomials

:<math>\exp \left(xt-\frac{t^2}{2} \right) = \sum_{n=0}^\infty \operatorname{He}_n(x) \frac {t^n}{n!}</math>

with that of Bell polynomials.