Nonterminating well–poised hypergeometric series

Year 2020, Volume: 49 Issue: 5, 1611 - 1624, 06.10.2020

Wenchang Chu

https://doi.org/10.15672/hujms.548103

Cited By: 1

https://izlik.org/JA57BF46AG

Abstract

Two classes of nonterminating well--poised series are examined by means of the modified Abel lemma on summation by parts, that leads to several summation and transformation formulae.

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Keywords

Classical hypergeometric series , Abel's lemma on summation by parts , Pfaff–Saalschütz theorem , Dougall's formulae for $_2H_2$-series and $_5H_5$-series

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