  A definition is offered of the factorial characters of the general linear
group, the symplectic group and the orthogonal group in an odd dimensional
space. It is shown that these characters satisfy certain flagged Jacobi-Trudi
identities. These identities are then used to give combinatorial expressions
for the factorial characters: first in terms of a lattice path model and then
in terms of the well known tableaux associated with the classical groups.
Factorial Q-functions are then defined in terms of three sets of primed shifted
tableaux, and shown to satisfy Tokuyama type identities in each case.
