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

被引：12
|
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.
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页码：248 / 259
页数：12
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