Nonterminating well–poised hypergeometric series

Authors : Wenchang CHU

Pages : 1611-1624

Doi:10.15672/hujms.548103

View : 13 | Download : 10

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