Integral And Series Representations Of Q-Polynomials And Functions: Part Ii Schur Polynomials And The Rogers-Ramanujan Identities

Keywords

Bilateral q-series; M-versions; Rogers-Ramanujan identities; Stieltjes; The Ramanujan function; Wigert polynomials

Abstract

We give several expansion and identities involving the Ramanujan function Aq 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.

Publication Date

1-1-2017

Publication Title

Proceedings of the American Mathematical Society

Volume

145

Issue

9

Number of Pages

3717-3733

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/proc/13535

Socpus ID

85021414019 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85021414019

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