Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642707 | Journal of Computational and Applied Mathematics | 2007 | 11 Pages |
Abstract
The Abel method on summation by parts is reformulated to present new and elementary proofs of several classical identities of terminating well-poised basic hypergeometric series, mainly discovered by [F H. Jackson, Certain q-identities, Quart. J. Math. Oxford Ser. 12 (1941) 167–172]. This strengthens further our conviction that as a traditional analytical instrument, the revised Abel method on summation by parts is indeed a very natural choice for working with basic hypergeometric series.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wenchang Chu, Cangzhi Jia,