Iteration method for multiple Rogers-Ramanujan identities
Wenchang Chu and Wenlong Zhang
Source: Kodai Math. J. Volume 32, Number 3
(2009), 471-500.
Abstract
Inspired by the recursive lemma due to Bressoud (1983), we present an iteration process for constructing transformations from unilateral multiple basic hypergeometric series to bilateral univariate one. Applications are illustrated to multiple series transformation formulae and multiple Rogers-Ramanujan identities.
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2012 © Tokyo Institute of Technology, Department of Mathematics
Kodai Mathematical Journal
