Abstract:In terms of Dougall's 2 H 2 series identity and the series rearrangement method, we establish an interesting symmetric formula for hypergeometric series. Then it is utilized to derive a known nonterminating form of Saalschütz's theorem. Similarly, we also show that Bailey's 6 ψ 6 series identity implies the nonterminating form of Jackson's 8 φ 7 summation formula. Considering the reversibility of the proofs, it is routine to show that Dougall's 2 H 2 series identity is equivalent to a known nonterminating form… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.