THE ROGERS-RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS

被引：13

作者：

Chern, Shane ^{[1
]}

Tang, Dazhao ^{[2
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2021年 / 103卷 / 02期

关键词：

Rogers– Ramanujan continued fraction; eta-quotient representations; recurrence relations;

D O I：

10.1017/S0004972720000933

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct eta-quotient representations of two families of q-series involving the Rogers-Ramanujan continued fraction by establishing related recurrence relations. We also display how these eta-quotient representations can be utilised to dissect certain q-series identities.

引用

页码：248 / 259

页数：12

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