ABSTRACT
B
n
(x
; x
; : : : ; x
n
) in the variables x
; x
; : : : ; x
n
defined by the sum
B
n
=
X
n!
k
!(1!)
k
k
!(2!)
k
k
n
!(n!)
k
n
x
k
x
k
x
k
n
n
; (11.1)
where the summation is extended over all partitions of n, that is, over all nonnegative integer solutions (k
; k
; : : : ; k
n
) of the equation k 1
+2k
+ +nk
n
= n;
is called exponential Bell partition polynomial.
