A symmetric formula for hypergeometric series (Q2046852)

In this article, the author established a symmetric formula for hypergeometric series. Then it is utilized to derive a known nonterminating form of Saalschütz's theorem. Similarly, the author also shows that Bailey's \(_6\psi_6\) series identity implies the nonterminating form of Jackson's \(_8\phi_7\) summation formula. Considering the reversibility of the proofs, it is routine to show that Dougall's \(_2H_2\) series identity is equivalent to a known nonterminating form of Saalschütz's theorem and Bailey's \(_6\phi_6\) series identity is equivalent to the nonterminating form of Jackson's \(_8\phi_7\) summation formula.