A new kind of special function and its application
Hong-Yi Fan, Zhi-Long Wan, Ze Wu, Pengfei Zhang · Chinese Physics B · 2015
By virtue of the operator Hermite polynomial method and the technique of integration within the ordered product of operators we derive a new kind of special function, which is closely related to one- and two-variable Hermite polynomials. Its application in deriving the normalization for some quantum optical states is presented.