  Let W be the complex reflection group G(e,1,n). In the author's previous
paper, Hall-Littlewood functions associated to W were introduced. In the
special case where W is a Weyl group of type B_n, they are closely related to
Green polynomials of finite classical groups. In this paper, we introduce a two
variables version of the above Hall-Littlewood functions, as a generalization
of Macdonald functions associated to symmetric groups. A generalization of
Macdonald operators is also constructed, and we characterize such functions by
making use of Macdonald operators, assuming a certain conjecture.
