  Spherical Harmonics, $Y_\ell^m(\theta,\phi)$, are derived and presented (in a
Table) for half-odd-integer values of $\ell$ and $m$. These functions are
eigenfunctions of $L^2$ and $L_z$ written as differential operators in the
spherical-polar angles, $\theta$ and $\phi$. The Fermion Spherical Harmonics
are a new, scalar and angular-coordinate-dependent representation of fermion
spin angular momentum. They have $4\pi$ symmetry in the angle $\phi$, and hence
are not single-valued functions on the Euclidean unit sphere; they are
double-valued functions on the sphere, or alternatively are interpreted as
having a double-sphere as their domain.
