Abel's method on summation by parts and terminating well-poised q-series identities
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摘要
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.
论文关键词：primary,33D15,secondary,05A30,Abel's lemma on summation by parts,Basic hypergeometric series,Terminating well-poised series
论文评审过程：Available online 28 November 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2006.10.011
