Nm. Atakishiyev, ON THE FOURIER-GAUSS TRANSFORMS OF SOME Q-EXPONENTIAL AND Q-TRIGONOMETRIC FUNCTIONS, Journal of physics. A, mathematical and general, 29(22), 1996, pp. 7177-7181
We examine the properties of q-exponential and q-trigonometric functio
ns, recently introduced and discussed in the literature. It is shown t
hat they are related to Jackson's q-analogues of the exponential and t
rigonometric functions by classical Fourier-Gauss transformations.