R. Floreanini et al., AN ALGEBRAIC INTERPRETATION OF THE CONTINUOUS BIG Q-HERMITE POLYNOMIALS, Journal of mathematical physics, 36(9), 1995, pp. 5091-5097
The continuous big q-Hermite polynomials are shown to realize a basis
for a representation space of an extended q-oscillator algebra. An exp
ansion formula is algebraically derived using this model. (C) 1995 Ame
rican Institute of Physics.