Event
Geoffroy Bergeron, Département de physique et CRM
Tuesday, January 24, 2017 15:30to16:30
Room 4336, Pavillon André-Aisenstadt, 2920, Chemin de la tour, 5th floor, Montreal, QC, H3T 1J4, CA
Generating functions for the Bannai-Ito polynomials
The Bannai-Ito orthogonal polynomials are known to be essentially the Racah or 6j coefficients of the osp(1|2) Lie superalgebra. A generating function for these polynomials is obtained using an asymptotic expansion of a realization of this recoupling problem using three Dunkl oscillators. The connection between this result and a limit of the Askey-Wilson polynomials generating functions will be discussed.