Nonterminating well–poised hypergeometric series

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Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:5
Nonterminating well–poised hypergeometric series

Nonterminating well–poised hypergeometric series

Pages : 1611-1624

View : 20 | Download : 15

Publication Date : 2020-10-06

Article Type : Research Paper

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, PfaffSaalschütz theorem, Dougall`s formulae for 2H 2 series and 5H 5 series

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