  In 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.
