Identities of the Rogers-Ramanujan-Bailey type

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:308

Article

Sills, AV

关键词: Rogers-Ramanujan identities;    Bailey pairs;    q-series identities;    basic hypergeometric series;   

DOI  :  10.1016/j.jmaa.2004.11.061

来源: Elsevier

【 摘 要 】

A multiparameter generalization of the Bailey pair is defined in such a way as to include as special cases all Bailey pairs considered by W.N. Bailey in his paper [Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 50 (1949) 421-435]. This leads to the derivation of a number of elegant new Rogers-Ramanujan type identities. (c) 2004 Elsevier Inc. All rights reserved.

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