  We study the superfluidity of single component dipolar Fermi gases in three
dimensions within a pairing fluctuation theory. The transition temperature
$T_{c}$ for the dominant $p_z$ wave superfluidity exhibits a remarkable
re-entrant behavior as a function of the pairing strength induced by the
dipole-dipole interaction (DDI), which leads to an anisotropic pair dispersion.
The anisotropy and the long range nature of the DDI cause $T_c$ to vanish for a
narrow range of intermediate interaction strengths, where a pair density wave
state emerges as the ground state. The superfluid density and thermodynamics
below $T_{c}$, along with the density profiles in a harmonic trap, are
investigated as well, throughout the BCS-BEC crossover. Implications for
experiments are discussed.
