Ev. Damaskinsky et Pp. Kulish, IRREDUCIBLE REPRESENTATIONS OF DEFORMED OSCILLATOR ALGEBRA AND Q-SPECIAL FUNCTIONS, International journal of modern physics A, 12(1), 1997, pp. 153-158
Different generators of a deformed oscillator algebra give rise to one
-parameter families of q-exponential functions and q-Hermite polynomia
ls. Connections of the Stieltjes and Hamburger classical moment proble
m with the corresponding resolution of unity are also pointed out.