  For the recently introduced \mu-deformed analog of Bose gas model (\mu-Bose
gas model) we study some thermodynamical aspects. Namely, we calculate total
number of particles and, from it, the deformed partition function, both
involving dependence on the deformation parameter \mu. Such dependence of
thermodynamic functions on the \mu-parameter is at the core of modification of
Bose gas model and arises through the use of new techniques given by us, the
\mu-calculus, an alternative to the well-known q-calculus (Jackson derivative
and integral). Necessary elements of \mu-calculus are first presented. Then,
for high temperatures we obtain virial expansion of the equation of state and
find five first virial coefficients, as functions of \mu. At the other end, for
low temperatures the critical temperature of condensation T_c^(\mu) depending
on \mu is found and compared with the usual T_c, and with the T_c^(p,q) of
earlier studied p,q-Bose gas model. The internal energy, specific heat and the
entropy of \mu-Bose gas are also given, both for high and low temperatures.
Features peculiar for the \mu-Bose gas model are emphasized.
