  The Dyson hierarchical version of the quantum Ising chain with Long-Ranged
power-law ferromagnetic couplings $J(r) \propto r^{-1-\sigma}$ and pure or
random transverse fields is studied via real-space renormalization. For the
pure case, the critical exponents are explicitly obtained as a function of the
parameter $\sigma$, and are compared with previous results of other approaches.
For the random case, the RG rules are numerically applied and the critical
behaviors are compared with previous Strong Disorder Renormalization results.
