  A theorem due to Tokuyama expresses Schur polynomials in terms of
Gelfand-Tsetlin patterns, providing a deformation of the Weyl character formula
and two other classical results, Stanley's formula for the Schur
$q$-polynomials and Gelfand's parametrization for the Schur polynomial. We
generalize Tokuyama's formula to the Hall-Littlewood polynomials by extending
Tokuyama's statistics. Our result, in addition to specializing to Tokuyama's
result and the aforementioned classical results, also yields connections to the
monomial symmetric function and a new deformation of Stanley's formula.
