Journal article

Nonterminating well–poised hypergeometric series

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 seriesAbel`s lemma on summation by partsPfaffSaalschütz theoremDougall`s formulae for 2H 2 series and 5H 5 series

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