Some more identities of the Rogers-Ramanujan type

被引：12
|
作者：
Bowman, Douglas [2 ]
Mc Laughlin, James [1 ]
Sills, Andrew V. [3 ]
机构：
[1] W Chester Univ, Dept Math, W Chester, PA 19383 USA
[2] No Illinois Univ, De Kalb, IL 60115 USA
[3] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA
来源：
RAMANUJAN JOURNAL | 2009年 / 18卷 / 03期
基金：
美国国家科学基金会;
关键词：
q-series; Rogers-Ramanujan identities; Slater's identities;
D O I：
10.1007/s11139-007-9109-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.
引用
收藏
页码：307 / 325
页数：19
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