2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60920The object of this paper is to propose and prove a new generalization of the Andrews-Gordon identities, extending a recent result of Garrett, Ismail and Stanton. We also give a combinatorial discussion of the finite form of their result, which appeared in the work of Andrews, Knopfmacher, and Paule.12 pages, 1 figureCombinatoricsNumber TheoryQuantum Algebra05A10, 05A19, 11B65, 11P82text