BellY
BellY[n,k,{x1,…,xn-k+1}] gives the partial Bell polynomial Yn,k(x1,…,xn-k+1).
BellY[n,k,m] gives the generalized partial Bell polynomial of a matrix m.
BellY[m] gives the generalized Bell polynomial of a matrix m.
Please visit the official Wolfram Language Reference for more details and examples on core symbols.