  We provide the explicit formula for orbital integrals associated with
elliptic regular semisimple elements in $\mathrm{GL}_n(F) \cap
\mathrm{M}_n(\mathfrak{o})$ and associated with arbitrary elements of the
spherical Hecke algebra of $\mathrm{GL}_n(F)$ when $n=2, 3$, using results of
[CKL]. Here $F$ is a non-Archimedean local field of any characteristic with
$\mathfrak{o}$ its ring of integers.
