2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21284We present a deformed algebra related to the q-exponential and the q-logarithm functions that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and consistently a q-integral) for which the q-exponential is an eigenfunction. The q-derivative and the q-integral have a dual nature, that is also presented.7 pages, no figuresStatistical Mechanicstext