q-Kummer和式与q-算子

Q-Kummer Sum and Q-Operators

将q-Kummer和式的无限形式转变为有限形式,对其不为零的奇数项进行变换,给出所有可能的变换情况,在此基础上用算子E(bθ)作用于变换后的恒等式,根据不同作用位置进行分情况讨论并得出新的恒等式.

This research transformed the infinite form of the q-Kummer sum into the finite form,and then transformed the non-zero odd number items to give all possible transformations.On this basis,the research applied the operator E(bθ)to the transformed identities,and discussed the new identities according to different action positions.