2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79082Versions of Bailey's lemma which change the base from q to q^2 or q^3 are given. Iterates of these versions give many new versions of multisum Rogers-Ramanujan identities. We also prove Melzer's conjectures for the Fermionic forms of the supersymmetric analogues of Virasoro characters.CombinatoricsNumber Theory05A17; 11P81; 17B68text