2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142848In [RS1], we defined q-analogues of alien derivations and stated their basic properties. In this paper, we prove the density theorem and the freeness theorem announced in loc. cit. [RS1] Ramis J.-P. and Sauloy J., 2007. The q-analogue of the wild fundamental group (I)Quantum Algebratext