2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63497We present a family of analogs of the Hall-Littlewood symmetric functions in the $Q$-function algebra. The change of basis coefficients between this family and Schur's $Q$-functions are $q$-analogs of numbers of marked shifted tableaux. These coefficients exhibit many parallel properties to the Kostka-Foulkes polynomials.24 pagesCombinatoricsQuantum Algebra05E05, 05E10text