information:filtering
Bell series

The Bell series of a sequence a is an expression in terms of both an indeterminate x and a prime p and is given by: BG p (a n; x) = ∑ n = 0 ∞ a p n x n. {\displaystyle \operatorname {BG} _{p}(a_{n};x)=\sum _{n=0}^{\infty }a_{p^{n}}x^{n}.}