Generating functions for the ${\mathfrak{osp}}(1| 2)$ Clebsch–Gordan coefficients

Geoffroy Bergeron, Luc Vinet
2016 Journal of Physics A: Mathematical and Theoretical  
Generating functions for Clebsch-Gordan coefficients of osp(1|2) are derived. These coefficients are expressed as q goes to - 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(1j2).
doi:10.1088/1751-8113/49/11/115202 fatcat:ceoyompw35hc7c7hliwoocix4y