Q-Analogues Of Some Transformation Formulas

Luke and Tauraso proved thatwhere(x)0=1and(x)n=z(x+1)(x+2)…(x+n-1),n=1,2,....Applying the Lagrange interpolation formula,we give q-analogues of the above three identities:where(x;q)0=1and(x;g)n=(1-x)(1-xg)…(1一xqn-1),n=1,2,...