Year: 2010
Type: preprint
Abstract: A multilateral Bailey Lemma is proved, and multiple analogues of the Rogers--Ramanujan identities and Euler's Pentagonal Theorem are constructed as applications. The extreme cases of the Andrews--Gordon identities are also generalized using the multilateral Bailey Lemma where their final form is written in terms of determinants of theta functions.
Source: arXiv (Cornell University)
Author: Coskun, Hasan
Institution: East Texas A&M University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2950101697