Elementary proofs of some q-identities of Jackson and Andrews–Jain Original Research Article

We present elementary proofs of three q-identities of Jackson. They are Jacksonʹs terminating q-analogue of Dixonʹs sum, Jacksonʹs q-analogue of Clausenʹs formula, and a generalization of both of them. We also give an elementary proof of Jainʹs q-analogue of terminating Watsonʹs summation formula, which is actually equivalent to Andrewsʹs q-analogue of Watsonʹs formula.