  In the research paper [1], the analytical solution of semi-classical rotating
black holes (BH) in loop quantum gravity theory (LQG) is obtained, but an
unknown function $H$ is still preserved. In this note, we obtain an expression
for the unknown function $H$, which makes the space-time line element of the
semi-classical rotating BH in the LQG theory sufficiently well-expressed and
thus provides a basis for the study of such rotating BHs.
