2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72832In 1991 Tratnik derived two systems of multivariable orthogonal Racah polynomials and considered their limit cases. q-Extensions of these systems are derived, yielding systems of multivariable orthogonal q-Racah polynomials, from which systems of multivariable orthogonal q-Hahn, dual q-Hahn, q-Krawtchouk, q-Meixner, and q-Charlier polynomials follow as special or limit cases.15 pagesClassical Analysis and ODEs33C50; 33D50text