Mk. Atakishiyeva et Nm. Atakishiyev, FOURIER-GAUSS TRANSFORMS OF THE AL-SALAM-CHIHARA POLYNOMIALS, Journal of physics. A, mathematical and general, 30(19), 1997, pp. 655-661
We discuss classical Fourier-Gauss transforms of a three-parameter fam
ily of the continuous Al-Salam-Chihara polynomials p(n)(x;a,b\q). It i
s shown that they are related to both the continuous big q-Hermite p(n
)(x;a, 0\q) and the q-Hermite p(n)(x;0, 0\q) polynomials.