Rogers-Ramanujan Identities

Abstract

In a recent paper with Ismail and Stanton we proved a generalization of the Rogers-Ramanujan Identities for modulus 5.  In more recent work, Bressoud, Ismail and Stanton gave proofs of many Rogers-Ramanujan multisum identities using certain applications of Bailey's lemma. I plan to give generalizations of these multisum identities which are similar to our theorem for modulus 5.