Before revision:  Applying this result, we obtain recursion formulae for product moments of multivariate Gaussian random variablesand multivariate elliptical random variables ^{2}f(X)}]  .
After revision:  Applying this result, we obtain recursion formulae for product moments of multivariate Gaussian random variablesand multivariate elliptical random variables ^{2}f(X)}] for multivariate Student-t, logistic and Laplace distributions .