MomentGeneratingFunction
MomentGeneratingFunction[dist, t] gives the moment-generating function for the distribution dist as a function of the variable t.
MomentGeneratingFunction[dist, {t1, t2, ...}]gives the moment-generating function for the multivariate distribution dist as a function of the variables t1, t2, ....
Examples
MomentGeneratingFunction[NormalDistribution[μ, σ], t]MomentGeneratingFunction[ExponentialDistribution[λ], t]Please visit the official Wolfram Language Reference for more details.