Abstract
We introduce a q -analogue of Wigner’s 9- j symbols following the notational scheme used by Wilson in identifying the 6- j symbols with Racah polynomials, which eventually led Askey and Wilson to obtain a q -analogue of them, namely, the q -Racah polynomials. Most importantly, we prove the orthogonality of our analogues in complete generality, as well as derive an explicit polynomial expression for these new functions.
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