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A q-analogue of Erdelyi's formula for the Hankel transform of the product ofLaguerre polynomials is derived using the quantum linking groupoid between thequantum SU(2) and E(2) groups. The kernel of the q-Hankel transform is given bythe 1\varphi1-q-Bessel function, and then the transform of a product of twoWall polynomials times a q-exponential is calculated as a product of two Wallpolynomials times a q-exponential.

A q-Hankel transform associated to the quantum linking groupoid for the quantum SU(2) and E(2) groups