Generating functions for the Clebsch–Gordan coefficients

Generating functions for Clebsch-Gordan coefficients of osp (1 vertical bar 2) are derived. These coefficients are expressed as q -> -1 limits of the dual q-Hahn polynomials. The generating functions are obtained using two different approaches respectively based on the coherent-state representation and the position representation of osp (1 vertical bar 2).