  For any homomorphism V on the space of symmetric functions, we introduce an
operation which creates a q-analog of V. By giving several examples we
demonstrate that this quantization occurs naturally within the theory of
symmetric functions. In particular, we show that the Hall-Littlewood symmetric
functions are formed by taking this q-analog of the Schur symmetric functions
and the Macdonald symmetric functions appear by taking the q-analog of the
Hall-Littlewood symmetric functions in the parameter t. This relation is then
used to derive recurrences on the Macdonald q,t-Kostka coefficients.
