Title
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
Copyright Status
Unknown
Socpus ID
85021414019 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85021414019
STARS Citation
Ismail, Mourad E.H. and Zhang, Ruiming, "Integral And Series Representations Of Q-Polynomials And Functions: Part Ii Schur Polynomials And The Rogers-Ramanujan Identities" (2017). Scopus Export 2015-2019. 5786.
https://stars.library.ucf.edu/scopus2015/5786