The multisection method for triple products and identities of Rogers-Ramanujan type

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:339

Article

Chu, Wenchang¹  Wang, Chenying¹ 

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

关键词: the bisection and trisection series;    basic hypergeometric series;    Jacobi's triple product identity;    The quintuple product identity;    Rogers-Ramanujan identities;   

DOI  :  10.1016/j.jmaa.2007.06.074

来源: Elsevier

【 摘 要 】

By applying the bisection and trisection method to Jacobi's triple product identity, we establish several identities factorizing sum and difference of infinite products, which lead, in turn, to new and elementary proofs for twenty identities of Rogers-Ramanujan type. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free