Abstract
In this paper, using the q-Jackson integral and some elements of the q-harmonic analysis associated with the q-Hankel transform, we introduce and study the q-analogue of the Henkel-Stockwell transform. We give some harmonic analysis properties (Plancherel formula, inversion formula, reproduicing kernel, ...). Furthermore, we establish a version of Iieisenberg's uncertainty principles. Last, we study the q-Hankel-Stockwell transform on subset of finite measure.