Andrews-Gordon style identities
© The Author(s) 2015
Received: 16 June 2015
Accepted: 30 June 2015
Published: 8 October 2015
for a=1,2 and any positive integers m and n. A recent paper of Rains and Warnaar presents further Rogers-Ramanujan type identities involving sums of terms q |λ|/2 P λ (1,q,q 2,…;q n ). It is natural to attempt to reformulate these various identities to match the well-known Andrews-Gordon identities they generalize. Here, we find combinatorial formulas to replace the Hall-Littlewood polynomials and arrive at such expressions.