Integral and series representations of 𝑞-polynomials and functions: Part II Schur polynomials and the Rogers-Ramanujan identities

Abstract

We give several expansion and identities involving the Ramanujan function A q A_q and the Stieltjes–Wigert polynomials. Special values of our identities give m m -versions of some of the items on the Slater list of Rogers-Ramanujan type identities. We also study some bilateral extensions of certain transformations in the theory of basic hypergeometric functions.