Abel's method on Summation by Parets and Nonterminating q-Series Identities

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

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Wenchang, Chu; and Zhang, Wenlong. “Abel’s method on Summation by Parets and Nonterminating q-Series Identities”. Collectanea Mathematica, vol.VOL 60, no. 2, pp. 193-11, https://raco.cat/index.php/CollectaneaMathematica/article/view/141092.