A symmetric formula for hypergeometric series

In terms of Dougall's H-2(2) series identity and the series rearrangement method, we establish a symmetric formula for hypergeometric series. Then it is utilized to derive a known nonterminating form of Saalschutz's theorem. Similarly, we also showthat 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 H-2(2) series identity is equivalent to a known nonterminating form of Saalschutz's theorem and Bailey's (6)psi(6) series identity is equivalent to the nonterminating form of Jackson's (8)phi(7) summation formula.