2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153559A factorial analogue of the supersymmetric Schur functions is introduced. It is shown that factorial versions of the Jacobi--Trudi and Sergeev--Pragacz formulae hold. The results are applied to construct a linear basis in the center of the universal enveloping algebra for the Lie superalgebra gl(m|n) and to obtain super-analogues of the higher Capelli identities.AMS-Tex, 40 pagesQuantum Algebra05A15 (Primary) 17A70 (Secondary)text