Expansion Formulas For Q-series And Applications

In this paper,we use the well-known q-expansion formula to prove some transformation formulas of series for lateral and bilateral basic hypergeometric series.Using these identities, we re-derive the summation formulas for well-poised 6φ5.So we have the terminating summation formulas and other identities,with the famous q-analogue of Dixon theorem obtained.Using this q-expansion formula,we also have some classical summation formulas and transformation formulas between 1φ1 and 1Φ1,between 2φ2 and 2Φ2.