For Laplace transform

If

x(t) ↔ X(s) with ROC = R

then

e^αtx(t) ↔ X(s - α) where Re(s - α) ∈ ROC(X(.))

For z-transform

If x[n] ↔ X(z) with ROC = R

then

βⁿ ↔ X(z/β)  β ≠ 0 where zβ^-1 ∈ ROC(X(.))