A qq-analogue of the 9-jj symbols and their orthogonality

We introduce a qq-analogue of Wigner’s 9-jj symbols following the notational scheme used by Wilson in identifying the 6-jj symbols with Racah polynomials, which eventually led Askey and Wilson to obtain a qq-analogue of them, namely, the qq-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.