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Generating functions for the Bannai-Ito polynomials (1605.03407v2)
Published 11 May 2016 in math-ph and math.MP
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 $\mathfrak{osp}(1|2)$ Lie superalgebra. The derivation is carried in a realization of the recoupling problem in terms of three Dunkl oscillators.
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