2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123685We give a combinatorial formula for the non-symmetric Macdonald polynomials E_μ(x;q,t). The formula generalizes our previous combinatorial interpretation of the integral form symmetric Macdonald polynomials J_μ(x;q,t). We prove the new formula by verifying that it satisfies a recurrence, due to Knop, that characterizes the non-symmetric Macdonald polynomials.22 pages, to appear in Amer. J. MathCombinatoricsQuantum AlgebraPrimary: 05E10; Secondary: 05A30, 33D52text