Graduate School of Mathematical Sciences, The University of Tokyo
Journal of Mathematical Sciences, The University of Tokyo. Vol. 6 (1999), No. 2, Page 335-369
We give an explicit description of the zonal spherical functions on quantum Grassmann manifolds of orthogonal and symplectic type. A unified parametrization of their zonal spherical functions is given in terms of Macdonald polynomials and Koornwinder's multivariable Askey-Wilson polynomials.