AN IDENTITY OF q-DIFFERENTIAL OPERATOR AND ITS APPLICATIONS
q-微分算子的一个恒等式及其应用

An identity of q-differential operator is proved by the Leibniz formula ofq-diffrerntial operator. Some results including the known Sears' transformation and the orthogonal relation of Al--Salam-Carlitz are derived in a natural way. An extension of Askey-Roy betaintegral is also obtained.