Some systems of multivariable orthogonal \(q\)-Racah polynomials (Q2369918)

The authors employ certain \(q\)-identities and \(q\)-summation formulae, for example, summation formula for terminating \({_6\phi_5}\) to derive basic analogs of extended Racah polynomials and second system of Racah's multivariate orthogonal polynomials as considered by \textit{M. V. Tratnik} [J. Math. Phys. 32, No.~9, 2337--2342 (1991; Zbl 0742.33007)]. Special and limit cases of their results provide interesting known results.