ABEL'S METHOD ON SUMMATION BY PARTS AND BALANCED q-SERIES IDENTITIES

被引：2

作者：

Chu, Wenchang ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat, I-73100 Lecce, Italy

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2010年 / 4卷 / 01期

关键词：

Abel's lemma on summation by parts; basic hypergeometric series; BASIC HYPERGEOMETRIC-SERIES;

D O I：

10.2298/AADM1000006C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Abel method on summation by parts is reformulated to present new and elementary proofs of several classical identities of terminating balanced basic hypergeometric series. The examples strengthen our conviction that as traditional analytical instrument, the revised Abel method on summation by parts is indeed a very natural choice for working with basic hypergeometric series.

引用

页码：54 / 65

页数：12

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