Generating functions for the Bannai-Ito polynomials
Abstract
The generating function of the Bannai-Ito polynomials is derived using the fact that these polynomials are known to be essentially the Racah or 6j coefficients of the osp(1|2) Lie superalgebra. The derivation is carried in a realization of the recoupling problem in terms of three Dunkl oscillators.
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