2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166606We present an asymmetric $q$-Painlevé equation. We will derive this using $q$-orthogonal polynomials with respect to generalized Freud weights: their recurrence coefficients will obey this $q$-Painlevé equation (up to a simple transformation). We will show a stable method of computing a special solution which gives the recurrence coefficients. We establish a connection with $α-q-P_V$.16 pages, 4 figures. Accepted, to appear in Journal of Difference Equations and ApplicationsClassical Analysis and ODEsMathematical Physics34M55 (Primary) 65Q05, 33D45, 39A13 (Secondary)text