 Expanding the Schur polynomials in terms of the Hall–Littlewood polynomials, one has
where formula_7 are the Kostka–Foulkes polynomials.Note that as formula_8, these reduce to the ordinary Kostka coefficients.A combinatorial description for the Kostka–Foulkes polynomials was given by Lascoux and Schützenberger,
where "charge" is a certain combinatorial statistic on semistandard Young tableaux,
and the sum is taken over all semi-standard Young tableaux with shape "λ" and type "μ".