Several transformation formulas for basic hypergeometric series

In 1981, Andrews gave a four-variable generalization of Ramanujan's 1ψ1 summation formula. We establish six-variable Andrews' identity according to the transformation formula for two 8ϕ7 series and Bailey's three series. Then, it is used find reciprocity theorem, which different from Liu's derive generalizations 3ψ3 formulas in terms limiting relations another Based on relations, some results involving bilateral basic hypergeometric are also deduced Guo–Schlosser other formulas.