INTEGRAL AND SERIES REPRESENTATIONS OF q-POLYNOMIALS AND FUNCTIONS: PART II SCHUR POLYNOMIALS AND THE ROGERS-RAMANUJAN IDENTITIES

摘要

We give several expansion and identities involving the Ramanujan function A(q) and the Stieltjes-Wigert polynomials. Special values of our identities give 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.