- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 5
- Nonterminating well–poised hypergeometric series
Nonterminating well–poised hypergeometric series
Authors : Wenchang Chu
Pages : 1611-1624
Doi:10.15672/hujms.548103
View : 10 | Download : 7
Publication Date : 2020-10-06
Article Type : Research
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. ******************************************************************************************************************* ******************************************************************************************************************* ******************************************************************************************************************* *******************************************************************************************************************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