Integrals and Series Representations of qq-Polynomials and Functions: Part II Schur Polynomials and the Rogers-Ramanujan Identities

preprint2016arXivOpen access

Abstract

We give several expansion and identities involving the Ramanujan function AqA_q and the Stieltjes--Wigert polynomials. Special values of our idenitities give mm-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.

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