Abel's lemma on summation by parts and terminating q-series identities

被引：6
|
作者：
Chu, Wenchang [1 ,2 ]
Wang, Xiaoyuan [2 ]
机构：
[1] Univ Lecce, Dipartimento Matemat, I-73100 Lecce, Italy
[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2008年 / 49卷 / 1-4期
关键词：
Abel's lemma on summation by parts; Basic hypergeometric series; Primary; 33D15; Secondary; 05A15;
D O I：
10.1007/s11075-008-9161-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The terminating basic hypergeometric series is investigated through the modified Abel lemma on summation by parts. Numerous known summation and transformation formulae are derived in a unified manner. Several new identities for the terminating quadratic, cubic and quartic series are also established.
引用
收藏
页码：105 / 128
页数：24
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