The specific heat of neutron star core matter in the presence of nucle
on superfluidity was calculated. A neutron superfluidity due to genera
tion of Copper pairs at the S-1(0) and P-3(2) (m = 0 and m = 2) states
as well as proton one of the S-1(0) type were treated, Simple approxi
mation formulas were derived for factors R describing the specific hea
t change under the influence of superfluidity as a function of T/T(c),
where T(c) is the temperature of occurrence of superfluidity of any t
ype. At T much less than T(c) the factors R are considerably larger th
an approximate ones used earlier which is important when calculating a
neutron star cooling.