Iteration method for multiple Rogers-Ramanujan identities

Kodai Mathematical Journal

Wenchang Chu¹  Wenlong Zhang¹ 

[1] School of Mathematical Sciences Dalian University of Technology

关键词: Basic hypergeometric series (q-series);    Jacobi's triple product identity;    Iteration procedure;    Multiple series transformations;    Multiple Rogers-Ramanujan identities;   

DOI  :  10.2996/kmj/1257948891

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(35)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.

【 授权许可】

Unknown