2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77195Using new $q$-functions recently introduced by Hatayama et al. and by (two of) the authors, we obtain an A_2 version of the classical Bailey lemma. We apply our result, which is distinct from the A_2 Bailey lemma of Milne and Lilly, to derive Rogers-Ramanujan-type identities for characters of the W_3 algebra.AMS-LaTeX, 25 pagesQuantum AlgebraCombinatorics05A30, 05A19 (Primary) 33D90, 33D15, 11P82 (Secondary)text