  The so-called \mu-deformed oscillator (or \mu-oscillator) introduced by
A.Jannussis, though possesses rather exotic properties with respect to other
better known deformed oscillator models, also has good potential for diverse
physical applications. In this paper, the corresponding \mu-Bose gas model
based on \mu-oscillators is explored. Within this model, the intercepts
\lambda^(2)(K) and \lambda^(3)(K) of two- and three-particle momentum
correlation functions are calculated with the goal of possible application for
modeling the non-Bose type behavior of the intercepts of two- and three-pion
correlations, observed in the experiments on relativistic heavy ion collisions.
In derivation of intercepts, different orders of approximation in the
deformation parameter \mu are considered. Our analysis also yields asymptotical
behavior of the intercepts \lambda^(2)(K) and \lambda^(3)(K). The results for
\lambda^(2)(K) are compared with experimental data, and with earlier known
results drawn using other deformed Bose gas models.
