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

页码：105 / 128

页数：24

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