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arxiv: 1605.02728 · v1 · pith:KJIAYMAUnew · submitted 2016-05-09 · 🧮 math.CA

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

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keywords identitiespolynomialsfunctionsgiverogers-ramanujansomebasicbilateral
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We give several expansion and identities involving the Ramanujan function $A_q$ and the Stieltjes--Wigert polynomials. Special values of our idenitities 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.

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