Authors
Citation
A. Schilling et So. Warnaar, A HIGHER-LEVEL BAILEY LEMMA, International journal of modern physics b, 11(1-2), 1997, pp. 189-195
Citations number
30
Categorie Soggetti
Physics, Condensed Matter","Physycs, Mathematical","Physics, Applied
Journal title
ISSN journal
02179792
Volume
11
Issue
1-2
Year of publication
1997
Pages
189 - 195
Database
ISI
SICI code
0217-9792(1997)11:1-2<189:AHBL>2.0.ZU;2-2
Abstract
We propose a generalization of Bailey's lemma, useful for proving q-se
ries identities. As an application, generalizations of Euler's identit
y, the Rogers-Ramanujan identities, and the Andrews-Gordon identities
are derived. This generalized Bailey lemma also allows one to derive t
he branching functions of higher-level A(1)((1)) cosets.