Heisenberg-type uncertainty principle for the second \(q\)-Bargmann transform on the unit disk

In this paper, we give a local uncertainty principle inequality for the second \( q \)-Bargmann transform \( \mathcal{B}_{\alpha,q} \) introduced by A. Essadiq et al. in [6] and we derive a \( q \)-version of the Heisenberg-type uncertainty principle on the \( q \)-weighted Bergman space \( \mathcal{A}_{\alpha,q} \). Also, using this local uncertainty principle and the partial \( q \)-Bargmann integrals, we establish an uncertainty principle of concentration type for this transform.