One-Parameter Generalizations of Rogers-Ramanujan Type Identities
Combinatorics
2009-07-01 v1
Abstract
Resorting to the recursions satisfied by the polynomials which converge to the right hand sides of the Rogers-Ramanujan type identities given by Sills and a determinant method presented in a paper by Ismail-Prodinger-Stanton, we obtain many new one-parameter generalizations of the Rogers-Ramanujan type identities, such as a generalization of the analytic versions of the first and second G\"{o}llnitz-Gordon partition identities, and generalizations of the first, second, and third Rogers-Selberg identities.
Cite
@article{arxiv.0906.5438,
title = {One-Parameter Generalizations of Rogers-Ramanujan Type Identities},
author = {N. S. S. Gu and H. Prodinger},
journal= {arXiv preprint arXiv:0906.5438},
year = {2009}
}