Generating functions for the osp(1|2) Clebsch-Gordan coefficients

Geoffroy Bergeron, Luc Vinet

Published 2015-06-30Version 1

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).