  The effect of the intersite and interplane Coulomb interactions between the
Dirac fermions on the formation of the Kohn-Luttinger superconductivity in
bilayer doped graphene is studied disregarding the effects of the van der Waals
potential of the substrate and both magnetic and non-magnetic impurities. The
phase diagram determining the boundaries of superconductive domains with
different types of symmetry of the order parameter is built using the extended
Hubbard model in the Born weak-coupling approximation with allowance for the
intratomic, interatomic, and interlayer Coulomb interactions between electrons.
It is shown that the Kohn-Luttinger polarization contributions up to the second
order of perturbation theory in the Coulomb interaction inclusively and an
account for the long-range intraplane Coulomb interactions significantly affect
the competition between the superconducting $f-$, $p+ip-$, and $d+id-$wave
pairings. It is demonstrated that the account for the interplane Coulomb
interaction enhances the critical temperature of the transition to the
superconducting phase.
