Generating functions for the Bannai-Ito polynomials
Mathematical Physics
2018-03-15 v2 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 coefficients of the Lie superalgebra. The derivation is carried in a realization of the recoupling problem in terms of three Dunkl oscillators.
Cite
@article{arxiv.1605.03407,
title = {Generating functions for the Bannai-Ito polynomials},
author = {Geoffroy Bergeron and Luc Vinet and Satoshi Tsujimoto},
journal= {arXiv preprint arXiv:1605.03407},
year = {2018}
}
Comments
13 pages