  In this paper we generalize the spin-raising and lowering operators of
spin-weighted spherical harmonics to linear-in-$\gamma$ spin-weighted
spheroidal harmonics where $\gamma$ is an additional parameter present in the
second order ordinary differential equation governing these harmonics. One can
then generalize these operators to higher powers in $\gamma$. Constructing
these operators required calculating the $\ell$-, $s$- and $m$-raising and
lowering operators (and various combinations of them) of spin-weighted
spherical harmonics which have been calculated and shown explicitly in this
paper.
