Name for generalization of Baker–Campbell–Hausdorff formula

Question

If the Baker–Campbell–Hausdorff formula describes

$$Z(X,Y) = \log(\exp(X) \exp(Y)) = X + Y + \frac12 [X,Y] + \ldots$$

then what is the name for formulas of the type

$$Z(W,X,Y) = \log(\exp(W) \exp(X) \exp(Y)) = W + X + Y + \ldots? $$