Abel's method on summation by parts and nonterminating q-series identities

被引：5

作者：

Chu, Wenchang ^{[1
]}

Zhang, Wenlong ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

COLLECTANEA MATHEMATICA | 2009年 / 60卷 / 02期

关键词：

Abel's lemma on summation by parts; Basic hypergeometric series; Nonterminating q-Watson formula; Nonterminating q-Whipple formula; BASIC HYPERGEOMETRIC-SERIES; FORMULAS;

D O I：

10.1007/BF03191209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several transformation and summation formulae for nonterminating basic hypergeometric series are established through the modified Abel lemma on summation by parts.

引用

页码：193 / 211

页数：19

共 12 条

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[2]

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[4]

Bailey W.N., 1935, GEN HYPERGEOMETRIC S

[5]

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[7]

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[8]

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[10]

RAHMAN M, 1989, RAM INT S AN PUN 198, P117

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